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Starting from the QCD Lagrangian we derive the effective action for massive quark and antiquark at large distances, corresponding to the minimal area low of the Wilson loop. The path integral method is used to quantize the system and the…

High Energy Physics - Phenomenology · Physics 2009-07-28 A. Yu. Dubin , A. B. Kaidalov , Yu. A. Simonov

We introduce the formulation of domain wall fermions in the context of lattice QCD. We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying…

High Energy Physics - Lattice · Physics 2026-05-19 Thomas Blum , Yigal Shamir

A chiral invariant effective action for lattice QCD is proposed. Its connection to the multifermion model is established. A possibility of using this action for computer simulations is discussed.

High Energy Physics - Lattice · Physics 2009-10-31 A. A. Slavnov

The $SU(N_f)_L \otimes SU(N_f)_R$ chiral symmetry of QCD is of central importance for the nonperturbative low-energy dynamics of light quarks and gluons. Lattice field theory provides a theoretical framework in which these dynamics can be…

High Energy Physics - Lattice · Physics 2009-11-10 S. Chandrasekharan , U. -J. Wiese

We construct the chiral effective Lagrangian for two lattice theories: one with Wilson fermions and the other with Wilson sea fermions and Ginsparg-Wilson valence fermions. For each of these theories we construct the Symanzik action through…

High Energy Physics - Lattice · Physics 2011-05-05 Oliver Baer , Gautam Rupak , Noam Shoresh

We have derived the most general chirally invariant Lagrangian ${\cal L}_6$ for the meson sector at order $p^6$. The result provides an extension of the standard Gasser-Leutwyler Lagrangian ${\cal L}_4$ to one higher order, including as…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. W. Fearing , S. Scherer

Based on the AdS/CFT correspondence we study the breaking of the chiral symmetry in QCD using a simple five dimensional model. The model gives definite predictions for the spectrum of vector mesons, their decay constants and interactions as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Leandro Da Rold , Alex Pomarol

A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

We demonstrate the emergence of the magnetic moment and spin-vorticity coupling of chiral fermions in 4-dimensional Wigner functions. In linear response theory with space-time varying electromagnetic fields, the parity-odd part of the…

Nuclear Theory · Physics 2015-09-02 Jian-hua Gao , Qun Wang

Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

A new technique is developed for the derivation of the Wess-Zumino-Witten terms of gauged chiral lagrangians. We start in D=5 with a pure (mesonless) Yang-Mills theory, which includes relevant gauge field Chern-Simons terms. The theory is…

High Energy Physics - Theory · Physics 2008-11-26 Christopher T. Hill , Cosmas K. Zachos

Above the chiral symmetry restoration crossover around T_{ch} ~ 155 MeV a new regime arises in QCD, a stringy fluid, which is characterized by an approximate chiral spin symmetry of the thermal partition function. This symmetry is not a…

High Energy Physics - Lattice · Physics 2023-05-31 L. Ya. Glozman

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

We show on the basis of an effective theory of QCD that a wide variety of observables in the hadron world is governed by the chiral symmetry together with an interplay between the axial anomaly and the explicit symmetry breaking due to the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Teiji Kunihiro

We study supersymmetric QCD with N_f<N_c in the limit of small supersymmetry-breaking masses and smaller quark masses using the weak-coupling Kahler potential. We calculate the full spectrum of this theory, which manifests a chiral symmetry…

High Energy Physics - Theory · Physics 2016-08-25 Stephen P. Martin , James D. Wells

Theoretical issues of exact chiral symmetry on the lattice are discussed and related recent works are reviewed. For chiral theories, the construction with exact gauge invariance is reconsidered from the point of view of domain wall fermion.…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa

We derive the chiral kinetic theory in a non-Abelian gauge field using a self-consistent semiclassical expansion. Within this new expansion scheme, we disentangle the Wigner equations up to second order and demonstrate that they do not…

High Energy Physics - Phenomenology · Physics 2025-07-23 Xiao-Li Luo , Shu-Xiang Ma , Jian-Hua Gao

Ideas about a duality between gauge fields and strings have been around for many decades. During the last ten years, these ideas have taken a much more concrete mathematical form. String descriptions of the strongly coupled dynamics of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kasper Peeters , Marija Zamaklar

We compute the chiral symmetries of the Lagrangian for confining "vector-like" gauge theories with massless fermions in $d$-dimensional Minkowski space and, under a few reasonable assumptions, determine the form of the quadratic fermion…

High Energy Physics - Theory · Physics 2014-07-30 Richard DeJonghe , Kimberly Frey , Tom Imbo

We propose a mechanism of a vector chiral long-range order in two-leg spin-1/2 and spin-1 antiferromagnetic ladders with four-spin exchanges and a Zeeman term. It is known that for one-dimensional quantum systems, spontaneous breakdown of…

Strongly Correlated Electrons · Physics 2011-11-09 Masahiro Sato
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