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We investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at finite temperature and density, on the basis of the three flavor Nambu-Jona-Lasinio model with the anomaly term given by the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

We estimate the slope of the topological susceptibility in the three flavour Nambu-Jona-Lasinio model with the 't Hooft interaction. The results are consistent with the evaluation from the QCD sum rule in favour of the full topological…

High Energy Physics - Phenomenology · Physics 2011-07-19 K. Fukushima , K. Ohnishi , K. Ohta

We explore the effects of breaking and restoration of chiral and axial symmetries using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

The effective restoration of chiral and axial symmetries is investigated within the framework of the SU(3) Nambu-Jona-Lasinio model. The topological susceptibility, modeled from lattice data at finite temperature, is used to extract the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

We investigate the restoration of chiral SU$(3)\otimes$SU$(3)$ and axial U$_A$(1) symmetries, at finite temperature and density, in the framework of the three flavor Nambu-Jona-Lasinio model with anomaly. We implement a temperature…

High Energy Physics - Phenomenology · Physics 2022-09-21 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

We explore patterns of effective restoration of the chiral U$_A$(1) symmetry using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction, and assuming that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

We study the two flavour non-local Nambu\textemdash Jona-Lasinio (NJL) model in the presence of a magnetic field and explore the chiral crossover in presence of a non-local form of the 't Hooft determinant term. Its coupling is governed by…

High Energy Physics - Phenomenology · Physics 2021-12-21 Mahammad Sabir Ali , Chowdhury Aminul Islam , Rishi Sharma

We study $U_A(1)$ symmetry and its relation to chiral symmetry at finite temperature through the application of functional renormalization group to the $SU(3)$ quark meson model. Very different from the mass gap and mixing angel between…

High Energy Physics - Phenomenology · Physics 2016-04-13 Yin Jiang , Tao Xia , Pengfei Zhuang

We review the so called A-scaled Nambu-Jona-Lasinio model both in the vacuum and at finite temperature and density in the case of three flavors. Starting from QCD and integrating out the gluons, we show how to reintroduce some of their…

Nuclear Theory · Physics 2007-05-23 B. Van den Bossche

Topological charge susceptibility $\chi_{t}$ for pure gauge SU(3) theory at finite temperature is studied using anisotropic lattices. The over-improved stout-link smoothing method is utilized to calculate the topological charge. Near the…

High Energy Physics - Lattice · Physics 2015-11-11 Guang-Yi Xiong , Jian-Bo Zhang , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

We study the topological charge in $N_f=2$ QCD at finite temperature using M\"obius domain-wall fermions. The susceptibility $\chi_t$ of the topological charge defined either by the index of overlap Dirac operator or a gluonic operator is…

High Energy Physics - Lattice · Physics 2018-04-18 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , K. Suzuki

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

High Energy Physics - Lattice · Physics 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

We study the $U(1)_A$ anomaly in two-flavor lattice QCD at finite temperature with the M\"obius domain-wall Dirac operator. We generate gauge configurations in the temperature range $(0.9, 1.2) T_c$ on different physical volumes, $L=$ 2--4…

High Energy Physics - Lattice · Physics 2015-11-19 JLQCD Collaboration , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Jun-ichi Noaki , Akio Tomiya

We investigate the axial $U(1)_A$ symmetry breaking above the critical temperature in two-flavor lattice QCD. The ensembles are generated with dynamical M\"obius domain-wall or reweighted overlap fermions. The $U(1)_A$ susceptibility is…

High Energy Physics - Lattice · Physics 2018-04-18 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto

We determine the topological susceptibility $\chi$ at T=0 in pure SU(3) gauge theory and its behaviour at finite $T$ across the deconfining transition. We use an improved topological charge density operator. $\chi$ drops sharply by one…

High Energy Physics - Lattice · Physics 2008-11-26 B. Allés , M. D'Elia , A. Di Giacomo

We explore the features of the $U_A(1)$ and chiral symmetry breaking of the Nambu--Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the…

Nuclear Theory · Physics 2018-03-19 Lingxiao Wang , Gaoqing Cao , Xu-Guang Huang , Pengfei Zhuang

We explore the topological susceptibility at finite quark chemical potential and zero temperature in two-color QCD (QC$_2$D) with two flavors. Through the Ward-Takahashi identities of QC$_2$D, we find that the topological susceptibility in…

High Energy Physics - Phenomenology · Physics 2023-09-22 Mamiya Kawaguchi , Daiki Suenaga

In this work we compute the axion mass and, from this (exploiting a well-known relation), we also derive an expression for the QCD topological susceptibility in the finite-temperature case, both below and above the chiral phase transition…

High Energy Physics - Phenomenology · Physics 2020-08-04 Salvatore Bottaro , Enrico Meggiolaro

We derive some exact results concerning the anomalous U(1)$_A$ symmetry in the chirally symmetric phase of QCD at high temperature. We discuss the importance of topology and finite-volume effects on the U(1)$_A$ symmetry violation…

High Energy Physics - Theory · Physics 2016-02-01 Takuya Kanazawa , Naoki Yamamoto

The topological susceptibility is one of the quantities that has a large discretization error, and the error can be sensitive to the choice of fermion action. We report on our results from physical point simulations with 2+1 flavor M\"obius…

High Energy Physics - Lattice · Physics 2026-03-25 Issaku Kanamori , Yasumichi Aoki , Hidenori Fukaya , Jishnu Goswami , Shoji Hashimotod , Yu Zhang
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