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The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ziyue Wang , Xingyu Guo , Shuzhe Shi , Pengfei Zhuang

We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each…

High Energy Physics - Phenomenology · Physics 2019-07-24 Ziyue Wang , Xingyu Guo , Shuzhe Shi , Pengfei Zhuang

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables…

High Energy Physics - Lattice · Physics 2009-10-28 W. Bietenholz , U. -J. Wiese

The $T=0$ dynamics of the two-dimensional $s=1/2$ Heisenberg model with competing nearest-neighbor $(J_1)$ and next-nearest-neighbor $(J_2)$ interactions is explored via the recursion method, specifically the frequency-dependent…

Condensed Matter · Physics 2009-10-28 Shu Zhang , Gerhard Müller

We investigate the continuum limit scaling of the scalar condensate in the $N_f=2$ Schwinger model on the lattice. We employ maximally twisted mass Wilson fermions and overlap fermions. We compute the scalar condensate by taking the trace…

High Energy Physics - Lattice · Physics 2009-07-30 Kei-ichi Nagai , Nils Christian , Karl Jansen , Beatrix Pollakowski

We study the difficulties associated with detecting chiral singularities predicted by chiral perturbation theory (ChPT) in lattice QCD. We focus on the physics of the remnant O(2) chiral symmetry of staggered fermions in the strong coupling…

High Energy Physics - Lattice · Physics 2016-09-01 Shailesh Chandrasekharan , Costas G. Strouthos

The entanglement asymmetry has emerged in recent years as a practical quantity to study phases of matter. We present the first study of entanglement asymmetry in gauge theories by considering the chiral anomaly of the analytically solvable…

High Energy Physics - Theory · Physics 2025-11-05 Adrien Florio , Sara Murciano

We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the…

High Energy Physics - Lattice · Physics 2012-08-09 Tatsuhiro Misumi , Takashi Z. Nakano , Taro Kimura , Akira Ohnishi

We study the spectrum properties for a recently constructed fixed point lattice Dirac operator. We also consider the problem of the extraction of the fermion condensate, both by direct computation, and through the Banks-Casher formula by…

High Energy Physics - Lattice · Physics 2009-10-31 F. Farchioni , C. B. Lang , M. Wohlgenannt

Complementarity - the absence of a phase boundary separating the Higgs and confinement phases of a gauge theory - can be violated by the addition of chiral fermions. We utilize chiral symmetry violating fermion correlators such as $ \langle…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stephen D. H. Hsu

Cluster variables have recently revolutionized numerical work in certain models involving fermionic variables. This novel representation of fermionic partition functions is continuing to find new applications. After describing results from…

High Energy Physics - Lattice · Physics 2007-05-23 Shailesh Chandrasekharan

We present our final results for the SU(3) sextet model with the non-improved Wilson fermion discretization. We find evidence for several phases of the lattice model, including a bulk phase with broken chiral symmetry. We study the…

High Energy Physics - Lattice · Physics 2018-04-18 Martin Hansen , Claudio Pica

The statistical equilibrium properties of the linear sigma model are studied, with a view towards characterizing the field configurations employed as initial conditions for numerical simulations of the formation of disoriented chiral…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jorgen Randrup

We investigate the critical behavior of the gauged NJL model (QED plus 4-fermion interaction) and the gauged Yukawa model by use of the inversion method. By calculating the gauge-invariant chiral condensate in the inversion method to the…

High Energy Physics - Theory · Physics 2015-06-26 K. -I. Kondo

We investigate a strongly coupled U(1) gauge theory with fermions and scalars on the lattice and analyze whether the continuum limit might be a renormalizable theory with dynamical mass generation. Most attention is paid to the phase with…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki

I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor…

High Energy Physics - Lattice · Physics 2009-10-22 Michael Creutz

Dirac fermions coupled to gauge fields can exhibit the chiral anomaly even on a finite spatial lattice. A careful description of this phenomenon yields new insights into the nature of spin-charge relations and on-site symmetries (symmetries…

High Energy Physics - Theory · Physics 2018-11-16 Djordje Radicevic

Chiral symmetry at finite temperature is studied using the Schwinger-Dyson equation. We calculate numerically the critical temperature using the Schwinger-Dyson equation with the gauge parameter that depends on an external momentum. The…

High Energy Physics - Phenomenology · Physics 2015-03-17 Shuji Sasagawa , Hidekazu Tanaka

We consider lattice gauge theories at strong coupling with gauge group $U(N_C)$, or $SU(N_C)$ restricted to the meson sector, and coupled to $N_F$ flavors of fundamental representation staggered fermions. We study the formation of a chiral…

High Energy Physics - Lattice · Physics 2015-06-12 E. T. Tomboulis
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