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nLab > Latest Changes: light-cone quantization

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- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeMar 17th 2015
- PermaLink
Author: Urs
Format: MarkdownItexcreated a bare minimum at _[[light-cone gauge quantization]]_, just so as to be able to sensibly link to it from elsewhere

created a bare minimum at light-cone gauge quantization, just so as to be able to sensibly link to it from elsewhere
- CommentRowNumber2.
- CommentAuthorUrs
- CommentTimeJan 18th 2020
- PermaLink
Author: Urs
Format: MarkdownItexI am finally cross-linking this old entry with entries that deal with examples of the general scheme. But I see I better create some bare references-entries to `!include` here... <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/5">v5</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>

I am finally cross-linking this old entry with entries that deal with examples of the general scheme.

But I see I better create some bare references-entries to !include here…

diff, v5, current
- CommentRowNumber3.
- CommentAuthorUrs
- CommentTimeJan 23rd 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * Philip D. Mannheim, _Light-front quantization is instant-time quantization_ ([arXiv:1909.03548](https://arxiv.org/abs/1909.03548)) <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/8">v8</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
added pointer to today’s
- Philip D. Mannheim, Light-front quantization is instant-time quantization (arXiv:1909.03548)
diff, v8, current
- CommentRowNumber4.
- CommentAuthorUrs
- CommentTimeMay 4th 2020
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * Philip D. Mannheim, Peter Lowdon, [[Stanley Brodsky]], _Comparing light-front quantization with instant-time quantization_ ([arXiv:2005.00109](https://arxiv.org/abs/2005.00109)) <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/12">v12</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
added pointer to today’s
- Philip D. Mannheim, Peter Lowdon, Stanley Brodsky, Comparing light-front quantization with instant-time quantization (arXiv:2005.00109)
diff, v12, current
- CommentRowNumber5.
- CommentAuthorUrs
- CommentTimeJul 2nd 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Hans-Christian Pauli]], [[Stanley J. Brodsky]], *Solving field theory in one space and one time dimension*, Phys. Rev. D **32** (1985) 1993 [[doi:10.1103/PhysRevD.32.1993](https://journals.aps.org/prd/abstract/10.1103/PhysRevD.32.1993)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/13">v13</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
added pointer to:
- Hans-Christian Pauli, Stanley J. Brodsky, Solving field theory in one space and one time dimension, Phys. Rev. D 32 (1985) 1993 [doi:10.1103/PhysRevD.32.1993]
diff, v13, current
- CommentRowNumber6.
- CommentAuthorUrs
- CommentTimeJul 2nd 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded more of the early articles: * [[Paul A. M. Dirac]], §5 "The Front Form", in: *Forms of Relativistic Dynamics*, Rev. Mod. Phys. **21** (1949) 392-399 [[doi:10.1103/RevModPhys.21.392](https://doi.org/10.1103/RevModPhys.21.392)] * [[Steven Weinberg]], *Dynamics at Infinite Momentum*, Phys. Rev. **150** (1966) 1313, Erratum Phys. Rev. 158, 1638 (1967) [[doi:10.1103/PhysRev.150.1313](https://doi.org/10.1103/PhysRev.150.1313)] * Shau-Jin Chang, Robert G. Root, and Tung-Mow Yan, *Quantum Field Theories in the Infinite-Momentum Frame. I. Quantization of Scalar and Dirac Fields*, Phys. Rev. D **7**, (1973) 1133 [[doi:10.1103/PhysRevD.7.1133](https://doi.org/10.1103/PhysRevD.7.1133)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/13">v13</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
added more of the early articles:
- Paul A. M. Dirac, §5 “The Front Form”, in: Forms of Relativistic Dynamics, Rev. Mod. Phys. 21 (1949) 392-399 [doi:10.1103/RevModPhys.21.392]
- Steven Weinberg, Dynamics at Infinite Momentum, Phys. Rev. 150 (1966) 1313, Erratum Phys. Rev. 158, 1638 (1967) [doi:10.1103/PhysRev.150.1313]
- Shau-Jin Chang, Robert G. Root, and Tung-Mow Yan, Quantum Field Theories in the Infinite-Momentum Frame. I. Quantization of Scalar and Dirac Fields, Phys. Rev. D 7, (1973) 1133 [doi:10.1103/PhysRevD.7.1133]
diff, v13, current
- CommentRowNumber7.
- CommentAuthorUrs
- CommentTimeJul 2nd 2023
- PermaLink
Author: Urs
Format: MarkdownItexand this one: * [[G. Peter Lepage]], [[Stanley J. Brodsky]], *Exclusive processes in perturbative quantum chromodynamics*, Phys. Rev. D **22** (1980) 2157 [[doi:10.1103/PhysRevD.22.2157](https://doi.org/10.1103/PhysRevD.22.2157)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/13">v13</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
and this one:
- G. Peter Lepage, Stanley J. Brodsky, Exclusive processes in perturbative quantum chromodynamics, Phys. Rev. D 22 (1980) 2157 [doi:10.1103/PhysRevD.22.2157]
diff, v13, current
- CommentRowNumber8.
- CommentAuthorUrs
- CommentTimeJul 3rd 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Hans-Christian Pauli]], [[Stanley J. Brodsky]], *Discretized light-cone quantization: Solution to a field theory in one space and one time dimension*, Phys. Rev. D **32** (1985) 2001 [[doi:10.1103/PhysRevD.32.2001](https://doi.org/10.1103/PhysRevD.32.2001)] * [[Stanley J. Brodsky]], Gary McCartor, [[Hans-Christian Pauli]], [[Stephen S. Pinsky]], *The challenge of light-cone quantization of gauge field theory*, Part. World **3** 3 (1993) 109-124 [[cds:240388](http://cds.cern.ch/record/240388), [inspire:335247](https://inspirehep.net/literature/335247)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+gauge+quantization/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+gauge+quantization/14">v14</a>, <a href="https://ncatlab.org/nlab/show/light-cone+gauge+quantization">current</a>
added pointer to:
- Hans-Christian Pauli, Stanley J. Brodsky, Discretized light-cone quantization: Solution to a field theory in one space and one time dimension, Phys. Rev. D 32 (1985) 2001 [doi:10.1103/PhysRevD.32.2001]
- Stanley J. Brodsky, Gary McCartor, Hans-Christian Pauli, Stephen S. Pinsky, The challenge of light-cone quantization of gauge field theory, Part. World 3 3 (1993) 109-124 [cds:240388, inspire:335247]
diff, v14, current
- CommentRowNumber9.
- CommentAuthorUrs
- CommentTimeJul 3rd 2023
- (edited Jul 3rd 2023)
- PermaLink
Author: Urs
Format: MarkdownItexadded Figure 1 from [Brodsky, Pauli & Pinsky (1998)](https://ncatlab.org/nlab/show/light-cone+quantization#BrodskyPauliPinsky98) to the top of the entry ([here](https://ncatlab.org/nlab/show/light-cone+quantization#General)) <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/14">v14</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>

added Figure 1 from Brodsky, Pauli & Pinsky (1998) to the top of the entry (here)

diff, v14, current
- CommentRowNumber10.
- CommentAuthorUrs
- CommentTimeJul 3rd 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded this pointer: * [[Thomas Heinzl]], *Light-Cone Quantization: Foundations and Applications*, in *Methods of Quantization*, Lecture Notes in Physics **572**, Springer (2001) [[arXiv:hep-th/0008096](https://arxiv.org/abs/hep-th/0008096), [doi:10.1007/3-540-45114-5_2](https://doi.org/10.1007/3-540-45114-5_2)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/14">v14</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added this pointer:
- Thomas Heinzl, Light-Cone Quantization: Foundations and Applications, in Methods of Quantization, Lecture Notes in Physics 572, Springer (2001) [arXiv:hep-th/0008096, doi:10.1007/3-540-45114-5_2]
diff, v14, current
- CommentRowNumber11.
- CommentAuthorUrs
- CommentTimeJul 3rd 2023
- PermaLink
Author: Urs
Format: MarkdownItexand this pointer: * K. K. Wan, J. J. Powis, *Quantum mechanics in Dirac's front form*, Int J Theor Phys **33** (1994) 553–574 [[doi:10.1007/BF00670516](https://doi.org/10.1007/BF00670516)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/15">v15</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
and this pointer:
- K. K. Wan, J. J. Powis, Quantum mechanics in Dirac’s front form, Int J Theor Phys 33 (1994) 553–574 [doi:10.1007/BF00670516]
diff, v15, current
- CommentRowNumber12.
- CommentAuthorUrs
- CommentTimeJul 4th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Hans-Christian Pauli]], *Discretized light-cone quantization and the effective interaction in hadrons*, AIP Conf. Proc. **494** (1999) 80-139 [[arXiv:hep-ph/9910203](https://arxiv.org/abs/hep-ph/9910203), [doi:10.1063/1.1301662](https://doi.org/10.1063/1.1301662)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/16">v16</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added pointer to:
- Hans-Christian Pauli, Discretized light-cone quantization and the effective interaction in hadrons, AIP Conf. Proc. 494 (1999) 80-139 [arXiv:hep-ph/9910203, doi:10.1063/1.1301662]
diff, v16, current
- CommentRowNumber13.
- CommentAuthorUrs
- CommentTimeJul 4th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded these two pointers: * Wei-Min Zhang, *Light-Front Dynamics and Light-Front QCD*, Chin. J. Phys. **32** (1994) 717-808 [[arXiv:hep-ph/9412244](https://arxiv.org/abs/hep-ph/9412244)] * Guillaume Beuf, Meijian Li, Tolga Altinoluk, Fabio Dominguez, *Course on Light-Cone Techniques applied to QCD* (2022) [[indico:1203236](https://indico.cern.ch/event/1203236)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/16">v16</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added these two pointers:
- Wei-Min Zhang, Light-Front Dynamics and Light-Front QCD, Chin. J. Phys. 32 (1994) 717-808 [arXiv:hep-ph/9412244]
- Guillaume Beuf, Meijian Li, Tolga Altinoluk, Fabio Dominguez, Course on Light-Cone Techniques applied to QCD (2022) [indico:1203236]
diff, v16, current
- CommentRowNumber14.
- CommentAuthorUrs
- CommentTimeJul 4th 2023
- PermaLink
Author: Urs
Format: MarkdownItexand this pointer: * [[Stanley Brodsky]], [[Thomas Heinzl]] et al. *Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics*, White Paper of International Light Cone Advisory Committee, Nuclear Physics B - Proceedings Supplements **251**, **252** (2014) 165-174 [[doi:10.1016/j.nuclphysbps.2014.05.004](https://doi.org/10.1016/j.nuclphysbps.2014.05.004), [arXiv:1309.6333](https://arxiv.org/abs/1309.6333)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/16">v16</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
and this pointer:
- Stanley Brodsky, Thomas Heinzl et al. Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics, White Paper of International Light Cone Advisory Committee, Nuclear Physics B - Proceedings Supplements 251, 252 (2014) 165-174 [doi:10.1016/j.nuclphysbps.2014.05.004, arXiv:1309.6333]
diff, v16, current
- CommentRowNumber15.
- CommentAuthorUrs
- CommentTimeJul 4th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded this pointer: * J. Vary et al. *Basis Light-Front Quantization: Recent Progress and Future Prospects*, Few-Body Syst **57** (2016) 695–702 [[doi:10.1007/s00601-016-1117-x](https://doi.org/10.1007/s00601-016-1117-x)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/17">v17</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added this pointer:
- J. Vary et al. Basis Light-Front Quantization: Recent Progress and Future Prospects, Few-Body Syst 57 (2016) 695–702 [doi:10.1007/s00601-016-1117-x]
diff, v17, current
- CommentRowNumber16.
- CommentAuthorUrs
- CommentTimeNov 23rd 2023
- PermaLink
Author: Urs
Format: MarkdownItexmore references: * [[Matthias Burkardt]], *Light Front Quantization*, Adv. Nucl. Phys. **23** (1996) 1-74 [[arXiv:hep-ph/9505259](https://arxiv.org/abs/hep-ph/9505259), [doi:10.1007/0-306-47067-5_1](https://doi.org/10.1007/0-306-47067-5_1)] * Prem P. Srivastava, *Constraints and Hamiltonian in light-front quantized field theory*, Nuovo Cim. A **107** (1994) 549-558 [[arXiv:hep-th/9308046](https://arxiv.org/abs/hep-th/9308046), [doi:10.1007/BF02768789](https://doi.org/10.1007/BF02768789)] * Kianoosh Kargar, Ahmad Shirzad, Majid Monemzadeh, *Dynamical structure of fields in light cone coordinates*, Phys. Rev. D **99** (2019) 045019 [[arXiv:1608.03255](https://arxiv.org/abs/1608.03255), [doi:10.1103/PhysRevD.99.045019](https://doi.org/10.1103/PhysRevD.99.045019)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/20">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/20">v20</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
more references:
- Matthias Burkardt, Light Front Quantization, Adv. Nucl. Phys. 23 (1996) 1-74 [arXiv:hep-ph/9505259, doi:10.1007/0-306-47067-5_1]
- Prem P. Srivastava, Constraints and Hamiltonian in light-front quantized field theory, Nuovo Cim. A 107 (1994) 549-558 [arXiv:hep-th/9308046, doi:10.1007/BF02768789]
- Kianoosh Kargar, Ahmad Shirzad, Majid Monemzadeh, Dynamical structure of fields in light cone coordinates, Phys. Rev. D 99 (2019) 045019 [arXiv:1608.03255, doi:10.1103/PhysRevD.99.045019]
diff, v20, current
- CommentRowNumber17.
- CommentAuthorUrs
- CommentTimeNov 24th 2023
- (edited Nov 24th 2023)
- PermaLink
Author: Urs
Format: MarkdownItexmade some minor edits, such as splitting off of a separate subsection for discretized light cone quantization (now [here](https://ncatlab.org/nlab/show/light-cone+quantization#DiscreteLightConeQuantization)) and adding more original references. But it all remains rather preliminary, for the time being. <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/21">v21</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>

made some minor edits, such as splitting off of a separate subsection for discretized light cone quantization (now here) and adding more original references.

But it all remains rather preliminary, for the time being.

diff, v21, current
- CommentRowNumber18.
- CommentAuthorUrs
- CommentTimeNov 24th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Toshihide Maskawa]], [[Koichi Yamakawi]], *The Problem of $P^+ = 0$ Mode in the Null-Plane Field Theory and Dirac's Method of Quantization*, Progress of Theoretical Physics **56** 1 (1976) 270–283 [[doi:10.1143/PTP.56.270](https://doi.org/10.1143/PTP.56.270)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/22">v22</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added pointer to:
- Toshihide Maskawa, Koichi Yamakawi, The Problem of $P^+ = 0$ Mode in the Null-Plane Field Theory and Dirac’s Method of Quantization, Progress of Theoretical Physics 56 1 (1976) 270–283 [doi:10.1143/PTP.56.270]
diff, v22, current
- CommentRowNumber19.
- CommentAuthorUrs
- CommentTimeNov 24th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Aharon Casher]], *Gauge fields on the null plane*, Phys. Rev. D **14** (1976) 452 [[doi:10.1103/PhysRevD.14.452](https://doi.org/10.1103/PhysRevD.14.452)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/22">v22</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added pointer to:
- Aharon Casher, Gauge fields on the null plane, Phys. Rev. D 14 (1976) 452 [doi:10.1103/PhysRevD.14.452]
diff, v22, current
- CommentRowNumber20.
- CommentAuthorUrs
- CommentTimeNov 24th 2023
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to: * [[Charles B. Thorn]], *Derivation of dual models from field theory. II*, Phys. Rev. D **17** (1978) 1073 [[doi:10.1103/PhysRevD.17.1073](https://doi.org/10.1103/PhysRevD.17.1073)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/22">v22</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added pointer to:
- Charles B. Thorn, Derivation of dual models from field theory. II, Phys. Rev. D 17 (1978) 1073 [doi:10.1103/PhysRevD.17.1073]
diff, v22, current
- CommentRowNumber21.
- CommentAuthorUrs
- CommentTimeJan 29th 2024
- PermaLink
Author: Urs
Format: MarkdownItexadded pointer to today's * [[Glenn Barnich]], Sucheta Majumdar, [[Simone Speziale]], Wen-Di Tan, *Lessons from discrete light-cone quantization for physics at null infinity: Bosons in two dimensions* [[arXiv:2401.14873](https://arxiv.org/abs/2401.14873)] <a href="https://ncatlab.org/nlab/revision/diff/light-cone+quantization/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/light-cone+quantization/30">v30</a>, <a href="https://ncatlab.org/nlab/show/light-cone+quantization">current</a>
added pointer to today’s
- Glenn Barnich, Sucheta Majumdar, Simone Speziale, Wen-Di Tan, Lessons from discrete light-cone quantization for physics at null infinity: Bosons in two dimensions [arXiv:2401.14873]
diff, v30, current

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nLab > Latest Changes: light-cone quantization