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We analyze the finite temperature phase diagram of$QC$ with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions show that the deconfinement and chiral phase transitions occur at two…

High Energy Physics - Lattice · Physics 2009-10-31 Frithjof Karsch , Martin Lütgemeier

The Thirring model is a four-fermion theory with a current-current interaction and $U(2N)$ chiral symmetry. It is closely related to three-dimensional QED and other models used to describe properties of graphene. In addition it serves as a…

High Energy Physics - Lattice · Physics 2017-11-15 Björn H. Wellegehausen , Daniel Schmidt , Andreas Wipf

We investigate the chiral phase transition in SU(N) gauge theories as the number of quark flavors, $N_f$, is varied. We argue that the transition takes place at a large enough value of $N_f$ so that it is governed by the infrared fixed…

High Energy Physics - Phenomenology · Physics 2014-11-17 Thomas Appelquist , Anuradha Ratnaweera , John Terning , L. C. R. Wijewardhana

Based on the feature of chiral susceptibility and thermal susceptibility at finite temperature, the nature of chiral phase transition around the critical number of fermion flavors ($N_c$) and the critical temperature ($T_c$) at a fixed…

High Energy Physics - Phenomenology · Physics 2015-06-22 Hong-tao Feng , Jian-Feng Li , Yuan-mei Shi , Hong-shi Zong

We present our investigation of SU(2) gauge theory with 8 flavours, and SU(3) gauge theory with 12 flavours. For the SU(2) case, at strong bare coupling, $\beta \lesssim 1.45$, the distribution of the lowest eigenvalue of the Dirac operator…

High Energy Physics - Lattice · Physics 2015-11-09 Cynthia Y. -H. Huang , Issaku Kanamori , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Alberto Ramos , Enrico Rinaldi

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

The Four Fermi model with discrete chiral symmetry is studied in three dimensions at non-zero chemical potential and temperature using the Hybrid Monte Carlo algorithm. The number of fermion flavors is chosen large $(N_f=12)$ to compare…

High Energy Physics - Lattice · Physics 2009-10-22 Simon Hands , Aleksandar Kocic , John Kogut

The finite-temperature chiral phase transition is investigated for three flavours of staggered quarks on a lattice of temporal extent N_t=4. In the simulation we use an improved fermion action which reduces rotational symmetry breaking of…

High Energy Physics - Lattice · Physics 2010-11-19 F. Karsch , E. Laermann , A. Peikert , B. Sturm

The interplay between lattice gauge theories and fermionic matter accounts for fundamental physical phenomena ranging from the deconfinement of quarks in particle physics to quantum spin liquid with fractionalized anyons and emergent gauge…

Strongly Correlated Electrons · Physics 2019-05-06 Xiao Yan Xu , Yang Qi , Long Zhang , Fakher F. Assaad , Cenke Xu , Zi Yang Meng

The effect of the strange quark in the finite temperature phase transition of QCD is studied on the lattice. Using the one-plaquette gauge action and the Wilson quark action, the transition in the chiral limit is shown to be continuous for…

High Energy Physics - Lattice · Physics 2016-11-03 K. Kanaya

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be…

Strongly Correlated Electrons · Physics 2020-06-05 Lukas Janssen , Wei Wang , Michael M. Scherer , Zi Yang Meng , Xiao Yan Xu

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

High Energy Physics - Lattice · Physics 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We present the investigation of the strong bare-coupling regime of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation. The simulations are performed with unimproved staggered fermions and the plaquette gauge…

High Energy Physics - Lattice · Physics 2014-12-18 Cynthia Y. -H. Huang , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Enrico Rinaldi

The nature of finite temperature transitions in lattice QCD with Wilson quarks is studied near the chiral limit for the cases of 2, 3, and 6 flavors of degenerate quarks ($N_F=2$, 3, and 6) and also for the case of massless up and down…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki , K. Kanaya , S. Kaya , S. Sakai , T. Yoshié

The critical temperature is computed for N_f = 2 dynamical flavors of nonperturbatively improved Wilson fermions. The new simulations are performed on lattices 40^3 x 14 with lattice spacing and pion mass about 0.08 fm and 200 MeV,…

High Energy Physics - Lattice · Physics 2011-02-23 V. G. Bornyakov , R. Horsley , Y. Nakamura , M. I. Polikarpov , P. Rakow , G. Schierholz

A novel approach for estimating the lower end of the $\mathrm{SU}(3)$ conformal window is presented through the study of center vortex geometry and its dependence on the number of fermion flavors $N_f$. Values ranging from $N_f = 2$--$8$…

High Energy Physics - Lattice · Physics 2025-09-17 J. A. Mickley , D. B. Leinweber , D. Nogradi

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=4$, 6 and 10 fundamental fermion flavours on the lattice. These values are chosen close to the expected edges of the conformal window, where the theory possesses…

High Energy Physics - Lattice · Physics 2015-03-19 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We have studied the 3-flavor, finite temperature, QCD phase transition with staggred fermions on an $ N_t=4$ lattice. By studying a variety of quark masses we have located the critical point, $m_c$, where the first order 3-flavor transition…

High Energy Physics - Lattice · Physics 2007-05-23 X. Liao

We study dynamical chiral symmetry breaking for quarks in the fundamental representation of $SU(N_c)$ for $N_f$ number of light quark flavors. We also investigate the phase diagram of quantum chromodynamics at finite temperature $T$ and/or…

High Energy Physics - Phenomenology · Physics 2021-07-07 Aftab Ahmad , Adnan Bashir , Marco A. Bedolla , J. J. Cobos-Martínez

We study the critical behavior of the three-dimensional (3D) Gross-Neveu (GN) model with $N_f$ Dirac fermionic flavors and quartic interactions, at the chiral ${\mathbb Z}_2$ transition in the massless ${\mathbb Z}_2$-symmetric limit. For…

High Energy Physics - Lattice · Physics 2023-03-08 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari