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We consider the quantum group invariant XXZ-model. In infrared limit it describes Conformal Field Theory with modified energy-momentum tensor. The correlation functions are related to solutions of level -4 of qKZ equations. We describe…

Mathematical Physics · Physics 2007-05-23 H. E. Boos , V. E. Korepin , F. A. Smirnov

The relations existing between the auxiliary field (einbein field) formalism and the spinless Salpeter equation are studied in the case of two particles with the same mass, interacting via a confining potential. The problem of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Claude Semay , Bernard Silvestre-Brac , Ilya M. Narodetskii

We show that lattice results on four flavor QCD at nonzero temperature and baryon density compare well with the hadron resonance gas model up to T approx. 0.95 Tc, and approach a free field behaviour with a reduced effective number of…

High Energy Physics - Lattice · Physics 2017-08-23 M. D'Elia , M. P. Lombardo

We expand the gauge field in terms of a suitably constructed complete set of Bloch wave functions, each labeled by a band designation $\,n\,$ and a wave number $\,\vec K\,$ restricted to the Brillouin zone. A noncompact formulation of…

High Energy Physics - Lattice · Physics 2009-10-28 R. Friedberg , T. D. Lee , Y. Pang , H. C. Ren

Quantum chromodynamics, most commonly referred to as QCD, is a relativistic quantum field theory for the strong interaction between subatomic particles called quarks and gluons. The most systematic way of calculating the strong interactions…

High Energy Physics - Lattice · Physics 2017-06-06 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

We show how to implement the background field method by means of canonical transformations and comment on the applications of the method to non-perturbative techniques in non-Abelian gauge theories. We discuss the case of the lattice in…

High Energy Physics - Theory · Physics 2012-06-12 Daniele Binosi , Andrea Quadri

In contrast to perturbative QCD, the analytic QCD models have running coupling whose analytic properties correctly mirror those of spacelike observables. The discontinuity (spectral) function of such running coupling is expected to agree…

High Energy Physics - Phenomenology · Physics 2012-07-04 César Ayala , Carlos Contreras , Gorazd Cvetič

The contribution from hadronic vacuum polarisation effects is responsible for a large fraction of the theoretical uncertainty in the running of the QED coupling. The current level of uncertainty has become a limitation for electroweak…

High Energy Physics - Lattice · Physics 2014-12-23 Anthony Francis , Gregorio Herdoíza , Hanno Horch , Benjamin Jäger , Harvey B. Meyer , Hartmut Wittig

In this work we calculate the renormalization of counterterms which arise in the lattice action of $N = 1$ Supersymmetric QCD (SQCD). In particular, the fine-tunings for quartic couplings are studied in detail through both continuum and…

High Energy Physics - Lattice · Physics 2024-09-17 Marios Costa , Herodotos Herodotou , Haralambos Panagopoulos

Double beta decays are rare nuclear processes that can occur in two modes: two-neutrino double beta decay, observed in the Standard Model, and neutrinoless double beta decay, a hypothetical process with profound implications for Particle…

High Energy Physics - Lattice · Physics 2023-12-04 Saurabh V. Kadam

The standard QCD action is improved by the addition of irrelevant operators built with chiral composites. An effective Lagrangian is derived in terms of auxiliary fields, which has the form of the phenomenological chiral Lagrangians. Our…

High Energy Physics - Lattice · Physics 2007-05-23 Sergio Caracciolo , Fabrizio Palumbo , Roberto Scimia

The general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational quantum mechanics from well known inference principles -- probability, entropy and information geometry. Although only partially…

Quantum Physics · Physics 2025-07-29 Ariel Caticha , Hassaan Saleem

An outstanding goal of physics is to find solutions that describe hadrons in the theory of strong interactions, Quantum Chromodynamics (QCD). For this goal, the light-front Hamiltonian formulation of QCD (LFQCD) is a complementary approach…

The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar

Lattice QCD calculations of two-nucleon interactions have been underway for about a decade, but still haven't reached the pion mass regime necessary for matching onto effective field theories and extrapolating to the physical point.…

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz

Over the last decade, numerical solutions of Quantum Chromodynamics (QCD) using the technique of lattice QCD have developed to a point where they are beginning to connect fundamental aspects of nuclear physics to the underlying degrees of…

High Energy Physics - Lattice · Physics 2021-03-17 Zohreh Davoudi , William Detmold , Kostas Orginos , Assumpta Parreño , Martin J. Savage , Phiala Shanahan , Michael L. Wagman

The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting…

High Energy Physics - Lattice · Physics 2021-11-29 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , A. D. M. Valois

We study the response of the QCD vacuum to an external abelian chromomagnetic field in the framework of a non local Nambu-Jona Lasinio model with the Polyakov loop. We use the Lattice results on the deconfinement temperature of the pure…

High Energy Physics - Phenomenology · Physics 2009-09-29 Leonardo Campanelli , Marco Ruggieri

Review of results from lattice QCD of relevance to standard-model phenomenology, to appear in Annual Review of Nuclear and Particle Science. KEY WORDS: hadron masses, quark mixing (CKM) matrix, weak matrix elements, strong coupling…

High Energy Physics - Phenomenology · Physics 2010-11-01 Andreas S , Kronfeld , Paul B. Mackenzie