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We consider the derivation of equivalent unconstrained systems for QCD given in the class of functions of nontrivial topological gauge transformations. We show that the unconstrained QCD obtained by resolving the Gauss law constraint…

High Energy Physics - Theory · Physics 2007-05-23 Victor Pervushin

We reexamine critically the chiral expansion for the baryon magnetic moments including the contributions from loops which involve intermediate octet and decuplet baryons. We find that, contrary to some claims, the nonanalytic loop…

High Energy Physics - Phenomenology · Physics 2009-10-30 Loyal Durand , Phuoc Ha

We demonstrate the non-renormalization of the Chiral Separation Effect (CSE) in quenched finite-density QCD in both confinement and deconfinement phases using a recently developed numerical method which allows, for the first time, to…

High Energy Physics - Lattice · Physics 2017-05-12 M. Puhr , P. V. Buividovich

The chiral extrapolation of the vector meson mass calculated in partially-quenched lattice simulations is investigated. The leading one-loop corrections to the vector meson mass are derived for partially-quenched QCD. A large sample of…

High Energy Physics - Lattice · Physics 2010-02-17 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ in the epsilon-regime of QCD using partially quenched chiral perturbation theory in the supersymmetry formulation without a singlet particle. We comment on…

High Energy Physics - Lattice · Physics 2010-11-05 Christoph Lehner , Tilo Wettig

In the previous work, we have shown that the SU(2) chiral symmetry recovered above the critical temperature gives a strong constraint on the Dirac eigenvalue spectrum and this constraint is strong enough for a set of anomalous U(1) chiral…

High Energy Physics - Lattice · Physics 2013-12-06 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

In Effective Field Theories (EFTs) with higher-dimensional operators many anomalous dimensions vanish at the one-loop level for no apparent reason. With the use of supersymmetry, and a classification of the operators according to their…

High Energy Physics - Phenomenology · Physics 2016-04-15 J. Elias-Miro , J. R. Espinosa , A. Pomarol

We compute flavor non-singlet meson screening masses in the chiral limit of QCD with $N_f=3$ quarks. The calculation is carried out at 12 temperatures from $T\approx 1$ GeV up to the electroweak scale. For each temperature we simulated…

High Energy Physics - Lattice · Physics 2021-12-15 Davide Laudicina , Mattia Dalla Brida , Leonardo Giusti , Tim Harris , Michele Pepe

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens

We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano

We study chiral symmetry breaking in quenched strong-coupling QED$_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are…

High Energy Physics - Lattice · Physics 2008-11-26 A. G. Williams , F. T. Hawes

Aiming at the link between confinement and chiral symmetry the Polyakov loop represented as a spectral sum of eigenvalues of the Dirac operator was subject of recent studies. We analyze the volume dependence as well as the continuum…

High Energy Physics - Lattice · Physics 2009-04-14 Wolfgang Söldner

The $\eta \to 3\pi$ decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework…

High Energy Physics - Phenomenology · Physics 2018-04-18 Marian Kolesar , Jiri Novotny

We argue that the linear sigma model at small external momenta is an effective theory for the leading logarithms of chiral perturbation theory. Based on this assumption an attempt is made to sum these leading logarithms using the standard…

High Energy Physics - Phenomenology · Physics 2008-11-26 Moritz Bissegger , Andreas Fuhrer

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

The QCD non-perturbative property of Effective Locality whose essential meaning has been disclosed recently, is here questioned about the chiral symmetry breaking phenomenon, one of the two major issues of the non-perturbative phase of QCD.…

High Energy Physics - Theory · Physics 2019-09-04 Thierry Grandou , Ralf Hofmann , Peter H. Tsang

We determine chiral loop corrections to the B meson decay amplitudes to positive and negative parity charmed mesons within a framework which combines heavy quark and chiral symmetries. We find that corrections due to states of opposite…

High Energy Physics - Phenomenology · Physics 2008-10-14 Jan O. Eeg , Svjetlana Fajfer , Jernej F. Kamenik

We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral $O(4)$ and $U(1)_A$ symmetries. For that purpose, we exploit QCD Ward Identities (WI), which allow one to relate susceptibilities…

High Energy Physics - Phenomenology · Physics 2018-07-25 A. Gómez Nicola , J. Ruiz de Elvira

The chiral limit of the rho and sigma masses and widths is discussed. We work within the inverse amplitude method to one loop in SU(2) ChPT and analyze the consequences that all chiral logarithms cancel out in the rho-channel, while they do…

High Energy Physics - Phenomenology · Physics 2009-09-01 J. Nieves , E. Ruiz Arriola

We incorporate heavy-light mesons into staggered chiral perturbation theory, working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first non-trivial order in the chiral expansion, staggered taste violations affect the…

High Energy Physics - Lattice · Physics 2009-11-11 C. Aubin , C. Bernard