%0 Journal Article %1 shimizu2017anomaly %A Shimizu, Hiroyuki %A Yonekura, Kazuya %D 2017 %K anomaly deconfinement phasetransition %R 10.1103/PhysRevD.97.105011 %T Anomaly constraints on deconfinement and chiral phase transition %U http://arxiv.org/abs/1706.06104 %X We study constraints on thermal phase transitions of $SU(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and (ii) $N_f$ flavors of fundamental fermions with a nontrivial greatest common divisor $gcd(N_c,N_f) 1$. For the first case (i), we show that the chiral symmetry restoration in terms of the standard Landau-Ginzburg effective action is impossible at a temperature lower than that of deconfinement. For the second case (ii), we introduce a modified version of the center symmetry which we call center-flavor symmetry, and draw similar conclusions under a certain definition of confinement. Moreover, at zero temperature, our results give a partial explanation of the appearance of dual magnetic gauge group in (supersymmetric) QCD when $gcd(N_c,N_f) 1$.

@article{shimizu2017anomaly, abstract = {We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and (ii) $N_f$ flavors of fundamental fermions with a nontrivial greatest common divisor ${\rm gcd}(N_c,N_f) \neq 1$. For the first case (i), we show that the chiral symmetry restoration in terms of the standard Landau-Ginzburg effective action is impossible at a temperature lower than that of deconfinement. For the second case (ii), we introduce a modified version of the center symmetry which we call center-flavor symmetry, and draw similar conclusions under a certain definition of confinement. Moreover, at zero temperature, our results give a partial explanation of the appearance of dual magnetic gauge group in (supersymmetric) QCD when ${\rm gcd}(N_c,N_f) \neq 1$.}, added-at = {2022-05-27T17:50:56.000+0200}, author = {Shimizu, Hiroyuki and Yonekura, Kazuya}, biburl = {https://www.bibsonomy.org/bibtex/2e7217f2657bd805662f8bf96ad37b8b1/agomes42}, description = {[1706.06104] Anomaly constraints on deconfinement and chiral phase transition}, doi = {10.1103/PhysRevD.97.105011}, interhash = {12d3e758e26ed64df14c6c25d60b86c6}, intrahash = {e7217f2657bd805662f8bf96ad37b8b1}, keywords = {anomaly deconfinement phasetransition}, note = {cite arxiv:1706.06104Comment: 6 pages, references added; v3:references added and minor change}, timestamp = {2022-05-27T17:50:56.000+0200}, title = {Anomaly constraints on deconfinement and chiral phase transition}, url = {http://arxiv.org/abs/1706.06104}, year = 2017 }