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Related papers: Chiral Ward identities, automatic O(a) improvement…

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We test the reweighting of the quark determinant of O(a) improved Wilson fermions in the domain-decomposed hybrid Monte-Carlo algorithm. Specifically, we implement a reweighting in a twisted-mass parameter proposed by Palombi and L\"uscher…

High Energy Physics - Lattice · Physics 2011-11-17 Chuan Miao , Harvey B. Meyer , Hartmut Wittig

We solved with a numerical procedure the HTL improved ladder DS equation for the retarded fermion self-energy function $\Sigma_R$ to study the spontaneous generation of fermion mass in thermal QCD/QED, and studied the gauge-dependence of…

High Energy Physics - Phenomenology · Physics 2007-09-05 Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida

We present an update of our study of the phase diagram of two-flavour QCD at zero baryon density with dynamical $O(a)$ improved Wilson quarks. All simulations are done on lattices with a temporal extent of $N_t=16$ and spatial extent…

High Energy Physics - Lattice · Physics 2013-11-01 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schr\"odinger functional and can be generalized to other finite (ratios of)…

High Energy Physics - Lattice · Physics 2019-01-16 Mattia Dalla Brida , Tomasz Korzec , Stefan Sint , Pol Vilaseca

We develop a general formalism for the quantum kinetics of chiral fermions in a background electromagnetic field based on a semiclassical expansion of covariant Wigner functions in the Planck constant $\hbar$. We demonstrate to any order of…

High Energy Physics - Phenomenology · Physics 2018-09-12 Jian-Hua Gao , Zuo-Tang Liang , Qun Wang , Xin-Nian Wang

The Master Ward Identity (MWI) gives a universal formulation of the symmetries of a classical field theory. It is a renormalization condition for the time ordered products of the corresponding quantum field theory. We show that the MWI for…

Mathematical Physics · Physics 2021-03-10 Luis Peters

We derive, in path integral approach, the (anomalous) master Ward identity associated with an infinite set of nonlocal conservation laws in two-dimensional principal chiral models

High Energy Physics - Theory · Physics 2009-10-30 Miao Li , Yong-Shi Wu

The bulk quantization method is used for regularizing a conventional four dimensional theory of massless fermions coupled to an external non-Abelian gauge field and for subsequently evaluating the associated Ward identity. As a result one…

High Energy Physics - Theory · Physics 2009-11-07 Thomas Klose , Sorin Marculescu

We study the question of the Ward identity for "large" gauge invariance in 0+1 dimensional theories. We derive the relevant Ward identities for a single flavor fermion and a single flavor complex scalar field interacting with an Abelian…

High Energy Physics - Theory · Physics 2009-10-31 Ashok Das , Gerald Dunne , J. Frenkel

In lattice QCD with Wilson-type quarks, the chiral symmetry is explicitly broken by the Wilson term on finite lattices. Though the symmetry is guaranteed to recover in the continuum limit, a series of non-trivial procedures are required to…

We study scaling behavior of a chiral order parameter performing a simulation of two-flavor QCD with improved Wilson quarks. It has been shown that the scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2015-03-18 S. Ejiri , Y. Nakagawa , S. Aoki , K. Kanaya , H. Ohno , H. Saito , T. Hatsuda , Y. Maezawa , T. Umeda

We summarize the extent to which one can use Ward identities to non-perturbatively improve flavor singlet and non-singlet bilinears with three flavors of non-degenerate dynamical Wilson-like fermions.

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe , Jackson M. S. Wu

Two popular methods to reduce discretisation effects are Symanzik improvement and gauge field smearing in the Dirac operator. Tree-level $O(a^2)$-improved Wilson fermions can be obtained from $O(a)$-improved Wilson fermions by adding one…

High Energy Physics - Lattice · Physics 2023-10-11 Andreas Risch

We examine the chiral limit of domain wall fermions in quenched QCD. One expects that in a quenched simulation, exact fermion zero modes will give a divergent, 1/m behavior in the chiral condensate for sufficiently small valence quark…

The coefficient c_A required for O(a) improvement of the axial current in lattice QCD with N_f=3 flavors of Wilson fermions and the tree-level Symanzik-improved gauge action is determined non-perturbatively. The standard improvement…

High Energy Physics - Lattice · Physics 2015-12-09 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time dynamics is thus not only manifestly unitary, but also…

Quantum Physics · Physics 2025-02-28 Pablo Arnault , Armando Pérez , Pablo Arrighi , Terry Farrelly

Explicit exact formulas are presented, for the leading order term in a strict chiral covariant derivative expansion, for the abnormal parity component of the effective action of two- and four-dimensional Dirac fermions in presence of…

High Energy Physics - Theory · Physics 2008-11-26 L. L. Salcedo

Overlap fermions are a powerful tool for investigating the chiral and topological structure of the vacuum and the thermal states of QCD. We study various chiral and topological aspects of the finite temperature phase transition of N_f=2…

High Energy Physics - Lattice · Physics 2007-05-23 V. Weinberg , E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , T. Streuer

A new class of domain wall fermions is defined that interpolates between Shamir's and Bori\c{c}i's form without increasing the number of Dirac applications per CG iteration. This class represents a full (real) M\"obius transformation of the…

High Energy Physics - Lattice · Physics 2011-04-11 Richard C. Brower , Hartmut Neff , Kostas Orginos

We give an update on our current project to determine the transition temperature and the order of the deconfinement transition in the chiral limit of two flavour QCD. We use nonperturbatively O(a) improved Wilson fermions of the…

High Energy Physics - Lattice · Physics 2011-08-17 Bastian B. Brandt , Owe Philipsen , Hartmut Wittig , Lars Zeidlewicz