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We demonstrate that the QCD topological susceptibility nonperturbatively gets a significant contribution signaled by flavor-nonuniversal quark condensates at around the pseudo-critical temperature of the chiral crossover. It implies a…

High Energy Physics - Phenomenology · Physics 2021-01-06 Mamiya Kawaguchi , Shinya Matsuzaki , Akio Tomiya

We find that the chiral phase transition (chiral crossover) in QCD at physical point is triggered by big imbalance among three fundamental quantities essential for the QCD vacuum structure: susceptibility functions for the chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2022-06-22 Chuan-Xin Cui , Jin-Yang Li , Shinya Matsuzaki , Mamiya Kawaguchi , Akio Tomiya

Violation of the $U(1)$ axial symmetry in QCD is stricter than the chiral $SU(2)$ breaking, simply because of the presence of the quantum axial anomaly. If the QCD gauge coupling is sent to zero, the strength of the $U(1)$ axial breaking…

High Energy Physics - Phenomenology · Physics 2024-03-12 Chuan-Xin Cui , Mamiya Kawaguchi , Jin-Yang Li , Shinya Matsuzaki , Akio Tomiya

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

When the quark masses are lighter than those in QCD, the standard lore is that a chiral transition of first order must emerge for three, light flavors. Recently, however, numerical simulations on the lattice suggest that the chiral…

High Energy Physics - Phenomenology · Physics 2025-01-15 Francesco Giacosa , Győző Kovács , Péter Kovács , Robert D. Pisarski , Fabian Rennecke

We investigate the nature of the finite-temperature chiral transition in QCD with two light flavors, in the case of an effective suppression of the the U(1)_A symmetry breaking induced by the axial anomaly, which implies the symmetry…

High Energy Physics - Lattice · Physics 2015-07-01 Andrea Pelissetto , Ettore Vicari

The chiral susceptibility, or the first derivative of the chiral condensate with respect to the quark mass, is often used as a probe for the QCD phase transition since the chiral condensate is an order parameter of $SU(2)_L \times SU(2)_R$…

High Energy Physics - Lattice · Physics 2022-01-06 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , C. Rohrhofer , K. Suzuki

We study the anomalous breaking of U_A(1) symmetry just above the QCD phase transition for zero and two flavors of quarks, using a staggered fermion, lattice discretization. The properties of the QCD phase transition are expected to depend…

High Energy Physics - Lattice · Physics 2009-10-31 Shailesh Chandrasekharan , Dong Chen , Norman Christ , Weonjong Lee , Robert Mawhinney , Pavlos Vranas

The nature of chiral phase transition for QCD with two light quark flavors is not yet completely resolved. This is primarily because one has to understand whether or not the anomalous U(1) symmetry in the flavor sector is effectively…

High Energy Physics - Lattice · Physics 2018-01-26 Sayantan Sharma

The nature of chiral phase transition for two flavor QCD is an interesting but unresolved problem. One of the most intriguing issues is whether or not the anomalous U(1) symmetry in the flavor sector is effectively restored along with the…

High Energy Physics - Lattice · Physics 2016-11-23 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

We investigate relations between the chiral susceptibility and axial $U(1)$ anomaly in lattice QCD at high temperatures. Employing the exactly chiral symmetric Dirac operator, we separate the purely axial $U(1)$ breaking effect in the…

High Energy Physics - Lattice · Physics 2024-03-27 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , I. Kanamori , T. Kaneko , Y. Nakamura , K. Suzuki , D. Ward

The non-singlet part of the chiral symmetry in QCD with two light flavors is known to be restored through a crossover transition at a pseudo-critical temperature. However, the temperature dependence of the singlet part of the chiral…

Chiral symmetry restoration at nonzero temperature is studied in the framework of the O(4) linear sigma model and the U(N_f)_r x U(N_f)_l linear sigma model with N_f=2,3, and 4 quark flavors. We investigate the temperature dependence of the…

Nuclear Theory · Physics 2009-11-10 Dirk Roeder , Joerg Ruppert , Dirk H. Rischke

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

The finite temperature phase diagram of QCD with two massless quark flavors is not yet understood because of the subtle effects of anomalous $U_A(1)$ symmetry. In this work we address this issue by studying the fate of the anomalous…

High Energy Physics - Lattice · Physics 2021-12-07 Olaf Kaczmarek , Lukas Mazur , Sayantan Sharma

The interplay of mesonic fluctuations with an axial $U(1)_A$-symmetry breaking and resulting effects on the location of a possibly existing critical endpoint in the QCD phase diagram are investigated in a framework of the functional…

High Energy Physics - Phenomenology · Physics 2013-12-16 Bernd-Jochen Schaefer , Mario Mitter

We examine the axial U(1) symmetry near and above the finite temperature phase transition in two-flavor QCD using lattice QCD simulations. Although the axial U(1) symmetry is always violated by quantization, (i.e.) the chiral anomaly, the…

High Energy Physics - Lattice · Physics 2013-08-09 Guido Cossu , Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-Ichi Noaki

Violation of scale symmetry, scale anomaly, being a radical concept in quantum field theory, is of importance to comprehend the vacuum structure of QCD, and should potentially contribute to the chiral phase transition in thermal QCD, as…

High Energy Physics - Phenomenology · Physics 2022-01-05 Mamiya Kawaguchi , Shinya Matsuzaki , Akio Tomiya

We study the finite temperature phase structure for three-flavor QCD with a focus on locating the critical point which separates crossover and first order phase transition region in the chiral regime of the Columbia plot. In this study, we…

High Energy Physics - Lattice · Physics 2017-10-20 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa
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