%0 Journal Article %1 Smilga2000Aspects %A Smilga, A. V. %D 2000 %K condensate %T Aspects of Chiral Symmetry %U http://arxiv.org/abs/hep-ph/0010049 %X We give a pedagogical review of implications of chiral symmetry in QCD. First, we briefly discuss classical textbook subjects such as the axial anomaly, spontaneous breaking of the flavor-nonsinglet chiral symmetry, formation of light pseudo-Goldstone particles, and their effective interactions. Then we proceed to other issues. We explain in some detail a recent discovery how to circumvent the Nielsen--Ninomiya's theorem and implement chirally symmetric fermions on the lattice. We touch upon such classical issues as the Vafa-Witten's theorem and 't Hooft's anomaly matching conditions. We derive a set of exact theorems concerning the dynamics of the theory in a finite Euclidean volume and the behavior of the Dirac spectral density. Finally, we discuss an imaginary world with a nonzero value of the vacuum angle theta.

@article{Smilga2000Aspects, abstract = {{We give a pedagogical review of implications of chiral symmetry in QCD. First, we briefly discuss classical textbook subjects such as the axial anomaly, spontaneous breaking of the flavor-nonsinglet chiral symmetry, formation of light pseudo-Goldstone particles, and their effective interactions. Then we proceed to other issues. We explain in some detail a recent discovery how to circumvent the Nielsen--Ninomiya's theorem and implement chirally symmetric fermions on the lattice. We touch upon such classical issues as the Vafa-Witten's theorem and 't Hooft's anomaly matching conditions. We derive a set of exact theorems concerning the dynamics of the theory in a finite Euclidean volume and the behavior of the Dirac spectral density. Finally, we discuss an imaginary world with a nonzero value of the vacuum angle theta.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Smilga, A. V.}, biburl = {https://www.bibsonomy.org/bibtex/2de58a5fe81eaf1a097d96b65e07c4187/cmcneile}, citeulike-article-id = {10004168}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/0010049}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/0010049}, day = 6, eprint = {hep-ph/0010049}, interhash = {ac370e4ef1b25b8b36b3eef06aba0a29}, intrahash = {de58a5fe81eaf1a097d96b65e07c4187}, keywords = {condensate}, month = oct, posted-at = {2011-11-08 09:50:25}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Aspects of Chiral Symmetry}}, url = {http://arxiv.org/abs/hep-ph/0010049}, year = 2000 }