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The dynamics with an infrared stable fixed point in the conformal window in QCD like theories with a relatively large number of fermion flavors is reviewed. The emphasis is on the description of a clear signature for the conformal window,…

High Energy Physics - Theory · Physics 2010-11-15 V. A. Miransky

We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric $SU(3)$ gauge theory with three…

High Energy Physics - Lattice · Physics 2015-11-30 Takumi Iritani , Etsuko Itou , Tatsuhiro Misumi

As part of our ongoing investigations of QCD with many flavors of quarks, here we report on studies of the finite temperature phase transition for eight-flavor QCD with the DBW2 gauge action and na\"ive staggered fermions. We find a clear…

High Energy Physics - Lattice · Physics 2011-04-28 Xiao-Yong Jin , Robert D. Mawhinney

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

High Energy Physics - Lattice · Physics 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

In the previous paper we studied Dirac fermions in a non-Abelian random vector potential by using lattice supersymmetry. By the lattice regularization, the system of disordered Dirac fermions is defined without any ambiguities. We showed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ikuo Ichinose

Lattice simulations for (2+1)-flavor QCD with external magnetic field demonstrated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and…

High Energy Physics - Lattice · Physics 2018-04-18 Akio Tomiya , Heng-Tong Ding , Swagato Mukherjee , Christian Schmidt , Xiao-Dan Wang

Non-perturbative lattice studies of QCD in the chiral thermodynamic regime, where chiral symmetry is spontaneously broken, require to deal with almost quark zero modes in a theoretically clean and computationally efficient way. We discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Michele Della Morte , Roberto Frezzotti , Jochen Heitger

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$. This dependence is a general consequence of the coupling of the chiral order parameter…

High Energy Physics - Lattice · Physics 2011-05-05 Peter N. Meisinger , Michael C. Ogilvie

Results of a lattice field theory simulation of the single-flavor Thirring model in 2+1 spacetime dimensions are presented. The lattice model is formulated using domain wall fermions as a means to recover the correct U(2) symmetries of the…

High Energy Physics - Lattice · Physics 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

We study the phase structure of QCD with three degenerate flavors in the external magnetic fields using highly improved staggered quarks (HISQ). The simulations are performed on $16^3\times 6$ lattice. In order to investigate the quark mass…

High Energy Physics - Lattice · Physics 2019-04-03 Akio Tomiya , Heng-Tong Ding , Xiao-Dan Wang , Yu Zhang , Swagato Mukherjee , Christian Schmidt

Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered…

High Energy Physics - Lattice · Physics 2014-11-18 Wolfgang Unger

We study physics at temperatures just above the QCD phase transition (Tc) using chiral (overlap) Fermions in the quenched approximation of lattice QCD. Exact zero modes of the overlap Dirac operator are localized and their frequency of…

High Energy Physics - Lattice · Physics 2011-07-19 Rajiv V. Gavai , Sourendu Gupta , R. Lacaze

We continue our lattice simulations of QCD with 2 flavours of colour-sextet quarks as a model for conformal or walking technicolor. A 2-loop perturbative calculation of the $\beta$-function which describes the evolution of this theory's…

High Energy Physics - Lattice · Physics 2013-05-29 J. B. Kogut , D. K. Sinclair

We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the $SU(3)_{r} \times SU(3)_{\ell}$ linear sigma model. Gap equations for the masses of the scalar and…

Nuclear Theory · Physics 2011-07-19 J. T. Lenaghan , D. H. Rischke , J. Schaffner-Bielich

We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the…

High Energy Physics - Lattice · Physics 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

We analyze quark condensates and chiral (scalar) susceptibilities including isospin breaking effects at finite temperature $T$. These include $m_u\neq m_d$ contributions as well as electromagnetic ($e\neq 0$) corrections, both treated in a…

High Energy Physics - Phenomenology · Physics 2011-04-22 A. Gomez Nicola , R. Torres Andres

We report on the first lattice calculation of the QCD phase transition using chiral fermions at physical values of the quark masses. This calculation uses 2+1 quark flavors, spatial volumes between (4 fm$)^3$ and (11 fm$)^3$ and…

Non-compact lattice QED with two flavors of light dynamical quarks is simulated on $16^4$ lattices, and the chiral condensate, monopole density and susceptibility and the meson masses are measured. Data from relatively high statistics runs…

High Energy Physics - Lattice · Physics 2009-10-22 S. J. Hands , A. Kocic , J. B. Kogut , R. L. Renken , D. K. Sinclair , K. C. Wang

We study the region of the QCD phase transition using 2+1 flavors of domain wall fermions (DWF) and a $16^3 \times 8$ lattice volume with a fifth dimension of $L_s = 32$. The disconnected light quark chiral susceptibility, quark number…

High Energy Physics - Lattice · Physics 2010-04-14 M. Cheng , N. H. Christ , P. Hegde , F. Karsch , Min Li , M. F. Lin , R. D. Mawhinney , D. Renfrew , P. Vranas