Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexa bare list of references, to be `!include`-ed into the References-sections of relevant entries, such as _[[chiral perturbation theory]]_, _[[WZW term]]_ and _[[chiral anomaly]]_ <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   a bare list of references, to be !include-ed into the References-sections of relevant entries, such as chiral perturbation theory, WZW term and chiral anomaly

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeApr 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointers for explicit expression of the WZW term for 2-[[flavor (particle physics)|flavor]] [[quantum hadrodynamics]] in 4d ([[Skyrmion model]] with [[vector mesons]] included): * [[Ulf-G. Meissner]], [[Ismail Zahed]], equation (6) in: _Skyrmions in the Presence of Vector Mesons_, Phys. Rev. Lett. 56, 1035 (1986) ([doi:10.1103/PhysRevLett.56.1035](https://doi.org/10.1103/PhysRevLett.56.1035)) * [[Ulf-G. Meissner]], [[Norbert Kaiser]], [[Wolfram Weise]], equation (2.18) in: _Nucleons as skyrme solitons with vector mesons: Electromagnetic and axial properties_, Nuclear Physics A Volume 466, Issues 3–4, 11–18 May 1987, Pages 685-723 (<a href="https://doi.org/10.1016/0375-9474(87)90463-5">doi:10.1016/0375-9474(87)90463-5</a>) * Roland Kaiser, equation (12) in: _Anomalies and WZW-term of two-flavour QCD_, Phys. Rev. D63:076010, 2001 ([arXiv:hep-ph/0011377](https://arxiv.org/abs/hep-ph/0011377), [spire:537600](https://inspirehep.net/literature/537600)) <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/6">v6</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   added pointers for explicit expression of the WZW term for 2-flavor quantum hadrodynamics in 4d (Skyrmion model with vector mesons included):

   • Ulf-G. Meissner, Ismail Zahed, equation (6) in: Skyrmions in the Presence of Vector Mesons, Phys. Rev. Lett. 56, 1035 (1986) (doi:10.1103/PhysRevLett.56.1035)

   • Ulf-G. Meissner, Norbert Kaiser, Wolfram Weise, equation (2.18) in: Nucleons as skyrme solitons with vector mesons: Electromagnetic and axial properties, Nuclear Physics A Volume 466, Issues 3–4, 11–18 May 1987, Pages 685-723 (doi:10.1016/0375-9474(87)90463-5)

   • Roland Kaiser, equation (12) in: Anomalies and WZW-term of two-flavour QCD, Phys. Rev. D63:076010, 2001 (arXiv:hep-ph/0011377, spire:537600)

   diff, v6, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 4th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexalso to * [[Ulf-G. Meissner]], equation (2.45) in: _Low-energy hadron physics from effective chiral Lagrangians with vector mesons_, Physics Reports Volume 161, Issues 5–6, May 1988, Pages 213-361 (<a href="https://doi.org/10.1016/0370-1573(88)90090-7">doi:10.1016/0370-1573(88)90090-7</a>) <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/7">v7</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   also to

   • Ulf-G. Meissner, equation (2.45) in: Low-energy hadron physics from effective chiral Lagrangians with vector mesons, Physics Reports Volume 161, Issues 5–6, May 1988, Pages 213-361 (doi:10.1016/0370-1573(88)90090-7)

   diff, v7, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 8th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers, on including [[heavy mesons]] into the WZW term specifically [[kaons]]: * [[Curtis Callan]], [[Igor Klebanov]], equation (4.1) in: _Bound-state approach to strangeness in the Skyrme model_, Nuclear Physics B Volume 262, Issue 2, 16 December 1985, Pages 365-382 (<a href="https://doi.org/10.1016/0550-3213(85)90292-5">doi10.1016/0550-3213(85)90292-5</a>) * [[Igor Klebanov]], equation (99) of: _Strangeness in the Skyrme model_, in: D. Vauthrin, F. Lenz, J. W. Negele, _Hadrons and Hadronic Matter_, Plenum Press 1989 ([doi:10.1007/978-1-4684-1336-6](https://link.springer.com/book/10.1007/978-1-4684-1336-6)) and similarly [[D-mesons]] and [[B-mesons]]: * [[Mannque Rho]], D. O. Riska, N. N. Scoccola, above (2.1) in: _The energy levels of the heavy flavour baryons in the topological soliton model_, Zeitschrift für Physik A Hadrons and Nuclei volume 341, pages343–352 (1992) ([doi:10.1007/BF01283544](https://doi.org/10.1007/BF01283544)) <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/9">v9</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   added these pointers, on including heavy mesons into the WZW term

   specifically kaons:

   • Curtis Callan, Igor Klebanov, equation (4.1) in: Bound-state approach to strangeness in the Skyrme model, Nuclear Physics B Volume 262, Issue 2, 16 December 1985, Pages 365-382 (doi10.1016/0550-3213(85)90292-5)

   • Igor Klebanov, equation (99) of: Strangeness in the Skyrme model, in: D. Vauthrin, F. Lenz, J. W. Negele, Hadrons and Hadronic Matter, Plenum Press 1989 (doi:10.1007/978-1-4684-1336-6)

   and similarly D-mesons and B-mesons:

   • Mannque Rho, D. O. Riska, N. N. Scoccola, above (2.1) in: The energy levels of the heavy flavour baryons in the topological soliton model, Zeitschrift für Physik A Hadrons and Nuclei volume 341, pages343–352 (1992) (doi:10.1007/BF01283544)

   diff, v9, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 11th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * S. Ozaki, H. Nagahiro, [[Atsushi Hosaka]], Equations (3) and (9) in: _Magnetic interaction induced by the anomaly in kaon-photoproductions_, Physics Letters B Volume 665, Issue 4, 24 July 2008, Pages 178-181 ([arXiv:0710.5581](https://arxiv.org/abs/0710.5581), [doi:10.1016/j.physletb.2008.06.020](https://doi.org/10.1016/j.physletb.2008.06.020)) and added subsections for the various levels of further fields considered <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/11">v11</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   added pointer to

   • S. Ozaki, H. Nagahiro, Atsushi Hosaka, Equations (3) and (9) in: Magnetic interaction induced by the anomaly in kaon-photoproductions, Physics Letters B Volume 665, Issue 4, 24 July 2008, Pages 178-181 (arXiv:0710.5581, doi:10.1016/j.physletb.2008.06.020)

   and added subsections for the various levels of further fields considered

   diff, v11, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMay 1st 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer: * Masashi Wakamatsu, _On the electromagnetic hadron current derived from the gauged Wess-Zumino-Witten action_, ([arXiv:1108.1236](https://arxiv.org/abs/1108.1236), [spire:922302](https://inspirehep.net/literature/922302)) <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/13">v13</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   added this pointer:

   • Masashi Wakamatsu, On the electromagnetic hadron current derived from the gauged Wess-Zumino-Witten action, (arXiv:1108.1236, spire:922302)

   diff, v13, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Yasunori Lee, [[Kantaro Ohmori]], [[Yuji Tachikawa]], _Revisiting Wess-Zumino-Witten terms_ ([arXiv:2009.00033](https://arxiv.org/abs/2009.00033)) <a href="https://ncatlab.org/nlab/revision/diff/WZW+term+of+QCD+chiral+perturbation+theory+--+references/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/WZW+term+of+QCD+chiral+perturbation+theory+--+references/15">v15</a>, <a href="https://ncatlab.org/nlab/show/WZW+term+of+QCD+chiral+perturbation+theory+--+references">current</a>

   added pointer to today’s

   • Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa, Revisiting Wess-Zumino-Witten terms (arXiv:2009.00033)

   diff, v15, current