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We discuss the potential of Ginsparg-Wilson fermion simulations in the epsilon-regime of chiral perturbation theory, regarding the determination of the leading low energy constants of the effective chiral Lagrangian. It turns out to be very…

High Energy Physics - Lattice · Physics 2009-11-10 K. -I. Nagai , W. Bietenholz , T. Chiarappa , K. Jansen , S. Shcheredin

Weak coupling expansion of a chiral gauge theory on a lattice is discussed in the overlap formulation. We analyze the fermion propagator and the fermion-fermion-gauge boson vertex in the one loop level. The chiral properties of the…

High Energy Physics - Lattice · Physics 2009-10-30 Atsushi Yamada

We give another reformulation of the Thirring model (with four-fermion interaction of the current-current type) as a gauge theory and identify it with a gauge-fixed version of the corresponding gauge theory according to the Batalin-Fradkin…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

Using the lattice simulations in the Asqtad-improved staggered fermion formulation we compute the point-to-point $\kappa$ correlators, which are analyzed by the rooted staggered chiral perturbation theory (rS$\chi$PT). After chiral…

High Energy Physics - Lattice · Physics 2013-06-03 Ziwen Fu

We have calculated the potentials of the heavy (charmed or bottomed) pseudoscalar mesons up to $O(\epsilon^2)$ with the heavy meson chiral perturbation theory. We take into account the contributions from the football, triangle, box, and…

High Energy Physics - Phenomenology · Physics 2014-04-15 Zhan-Wei Liu , Ning Li , Shi-Lin Zhu

We perform a Monte Carlo simulation calculation of the critical coupling constant for the continuum {\lambda \over 4} \phi^4_2 theory. The critical coupling constant we obtain is [{\lambda \over \mu^2}]_crit=10.24(3).

High Energy Physics - Lattice · Physics 2009-10-30 Will Loinaz , R. S. Willey

We investigate the QCD phase diagram in the strong coupling limit by using a newly developed auxiliary field Monte-Carlo (AFMC) method. Starting from an effective action in the leading order of the 1/g^2 and 1/d expansion with one species…

High Energy Physics - Lattice · Physics 2012-11-13 Akira Ohnishi , Terukazu Ichihara , Takashi Z. Nakano

We consider $\mathcal N=2$ $SU(N)$ SQCD in four dimensions and a weak-coupling regime with large R-charge recently discussed in arXiv:1803.00580. If $\varphi$ denotes the adjoint scalar in the $\mathcal N=2$ vector multiplet, it has been…

High Energy Physics - Theory · Physics 2019-02-20 Matteo Beccaria

We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$ $-$ $\beta^\prime(g_c)$ for the chiral Gross Neveu model in arbitrary dimensions by substituting the corrections to the asymptotic scaling forms of the propagators…

High Energy Physics - Theory · Physics 2014-11-18 J. A. Gracey

We present a tensor-network approach for the strong-coupling expansion of two-dimensional QCD with staggered quarks at non-zero chemical potential. After expanding the Boltzmann factor in the gauge and fermion actions, all gauge fields can…

High Energy Physics - Lattice · Physics 2025-02-26 Thomas Samberger , Jacques Bloch , Robert Lohmayer

A multi-fermion interaction model is investigated in a compact spacetime with non-trivial topology and in a weakly curved spacetime. Evaluating the effective potential in the leading order of the 1/N expansion, we show the phase boundary…

High Energy Physics - Phenomenology · Physics 2017-08-23 Tomohiro Inagaki , Masako Hayashi

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are…

High Energy Physics - Lattice · Physics 2008-09-22 Stavros Christofi , Simon Hands , Costas Strouthos

We study the dynamical breaking of chiral symmetry in the 3-d Thirring model for a small number of fermion species. The critical point is identified by fitting lattice data to an equation of state. The spectrum of the theory is studied to…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio

We study the signatures of the Chiral Magnetic Effect (CME) in $SU(2)$ gauge theory with $N_f = 2$ flavours of dynamical fermions at finite temperature $T$, quark chemical potential $\mu$ and a weak external magnetic field $e B$. We…

High Energy Physics - Lattice · Physics 2026-05-07 P. V. Buividovich , L. von Smekal , D. Smith

A phase operator formulation for a recent model of interacting one-dimensional fermions in a harmonic trap is developed. The resulting theory is similar to the corresponding approach for the Luttinger model with open boundary conditions…

Strongly Correlated Electrons · Physics 2009-11-10 Gao Xianlong , W. Wonneberger

In this work, we use the master function approach to describe the CFT limit of the six-vertex model at the free fermion point. Using the ODE/IM correspondence, we obtain an explicit form of the master function. This allows us to compute the…

High Energy Physics - Theory · Physics 2026-01-22 Sergei Adler , Hermann Boos

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling…

Statistical Mechanics · Physics 2014-08-26 L. Wang , N. J. Zhou , B. Zheng

We study the chiral symmetry structure in a linear sigma model with fermions in the presence of an external, uniform magnetic field in the 'effective potential' approach at the one loop level. We also study the chiral phase transition as a…

High Energy Physics - Phenomenology · Physics 2011-02-19 Ashok Goyal , Meenu Dahiya

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

In this paper, the relations of four different susceptibilities (i.e., the chiral susceptibility, the fermion number susceptibility, the thermal susceptibility and the staggered spin susceptibility) are investigated both in and beyond the…

High Energy Physics - Phenomenology · Physics 2014-08-28 Pei-lin Yin , Yuan-mei Shi , Zhu-fang Cui , Hong-tao Feng , Hong-shi Zong