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Related papers: Quenched Chiral Perturbation Theory to one loop

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The critical quark mass, at which the renormalised mass vanishes, is computed in the Schrodinger functional scheme with a non vanishing background field at one-loop order of perturbation theory. Further one-loop calculations are done for…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Kurth

In the context of Differential Renormalization, using Constrained Differential Renormalization rules at one loop, we show how to obtain concrete results in two loop calculations without making use of Ward identities. In order to do that, we…

High Energy Physics - Theory · Physics 2008-11-26 Cesar Seijas

An estimate of the one-loop correction to the power spectrum of the primordial curvature perturbation is given, assuming it is generated during a phase of single-field, slow-roll inflation. The loop correction splits into two parts, which…

Astrophysics · Physics 2010-02-09 David Seery

We analyze the quark mass dependence of the Roper mass to one-loop order in relativistic baryon chiral perturbation theory. The loop integrals are evaluated using infrared regularization which preserves chiral symmetry and establishes a…

High Energy Physics - Lattice · Physics 2008-11-26 B. Borasoy , P. C. Bruns , U. -G. Meißner , R. Lewis

We calculate the large-volume and small-mass dependences of the quark condensate in quenched QCD using Neuberger's operator. We find good agreement with the predictions of quenched chiral perturbation theory, enabling a determination of the…

High Energy Physics - Lattice · Physics 2015-06-25 Pilar Hernandez , Karl Jansen , Laurent Lellouch

We derive the finite one-loop counterterm required to restore the Ward Identities broken by the regularization scheme in chiral gauge theories. Our result is an analytic expression applicable to a wide class of regularizations satisfying a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Claudia Cornella , Ferruccio Feruglio , Luca Vecchi

We extend the chiral Lagrangian with heavy quark-diquark symmetry to quenched and partially quenched theories. These theories are used to derive formulae for the chiral extrapolation of masses and hyperfine splittings of doubly heavy…

High Energy Physics - Lattice · Physics 2014-11-17 Thomas Mehen , Brian C. Tiburzi

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 renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of…

High Energy Physics - Theory · Physics 2023-02-14 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms…

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

I discuss the properties of pions in ``partially quenched'' theories, i.e. those in which the valence and sea quark masses, $m_V$ and $m_S$, are different. I point out that for lattice fermions which retain some chiral symmetry on the…

High Energy Physics - Lattice · Physics 2014-11-17 Stephen R. Sharpe

We describe in detail the constrained procedure of differential renormalization and develop the techniques required for one-loop calculations. As an illustration we renormalize Scalar QED and show that the two-, three- and four-point Ward…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. del Aguila , A. Culatti , R. Munoz-Tapia , M. Perez-Victoria

The scalar, isovector meson propagator is analyzed in quenched QCD, using the MQA pole-shifting ansatz to study the chiral limit. In addition to the expected short-range exponential falloff characteristic of a heavy scalar meson, the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Bardeen , A. Duncan , E. Eichten , N. Isgur , H. Thacker

We determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce Garden , Jochen Heitger , Rainer Sommer , Hartmut Wittig

We study the effects of quenched disorder on the commensurate-incommensurate transitions in the 1D $\mathbb{Z}_N$ chiral clock model. The interplay of domain walls and rare regions rounds the sharp transitions of the pure model. The density…

Disordered Systems and Neural Networks · Physics 2022-04-01 Pengfei Liang , Rosario Fazio , Stefano Chesi

We derive the topological susceptibility to the one-loop order in the chiral effective theory of QCD, for an arbitrary number of flavors.

High Energy Physics - Lattice · Physics 2019-08-13 Yao-Yuan Mao , Ting-Wai Chiu

Using the analysis of ChPT to two loops, we perform an error analysis of the threshold and low energy parameters, based on the uncertainties for the one loop low energy parameters and the resonance saturation mechanism. Different sets of…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nieves , E. Ruiz Arriola

We consider a general d=4 N=1 globally supersymmetric lagrangian involving chiral and vector superfields, with arbitrary superpotential, Kahler potential and gauge kinetic function. We compute perturbative quantum corrections by employing a…

High Energy Physics - Theory · Physics 2010-12-03 Andrea Brignole

It has been proposed that partially quenched chiral perturbation theory can be used together with partially quenched lattice QCD to determine the low-energy constants of real QCD. We point out a complication of this approach and show how it…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Ruth S. Van de Water

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer
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