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In the framework of chiral perturbation theory virtual photons are included. We calculate the divergences of the generating functional to one loop and determine the structure of the local action that incorporates the counterterms which…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Urech

We construct a low-energy effective field theory which allows the full treatment of isospin-breaking effects in semileptonic weak interactions. To this end, we enlarge the particle spectrum of chiral perturbation theory with virtual photons…

High Energy Physics - Phenomenology · Physics 2011-08-17 M. Knecht , H. Neufeld , H. Rupertsberger , P. Talavera

We calculate the divergent part of the one-loop effective action in curved spacetime for a particular class of second-order vector field operators with a degenerate principal part. The principal symbol of these operators has the structure…

High Energy Physics - Theory · Physics 2018-10-24 Michael S. Ruf , Christian F. Steinwachs

We apply the heat kernel method (using Avramidi's non-recursive technique) to the study of the effective action of chiral matter in a complex representation of an arbitrary gauge sector coupled to background U(1) supergravity. This…

High Energy Physics - Theory · Physics 2009-12-02 Daniel Butter

The structure functions of longitudinal virtual photon at low virtualities are calculated in the framework of chiral pertubation theory(ChPT) in the zero and first order of ChPT. It is assumed that the virtuality of target longitudinal…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. L. Ioffe , I. A. Shushpanov

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

The structure functions F_2 and F_1 of real photon at low virtualities are calculated in the framework of chiral perturbation theory (ChPT) in the zero and first order of ChPT. It is assumed that the virtuality of hard projectile photon Q^2…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. A. Shushpanov

The trace of the heat kernel and the one-loop effective action for the generic differential operator are calculated to third order in the background curvatures: the Riemann curvature, the commutator curvature and the potential. In the case…

High Energy Physics - Theory · Physics 2010-08-11 A. O. Barvinsky , Yu. V. Gusev , V. V. Zhytnikov , G. A. Vilkovisky

Chiral perturbation theory in the anomaly sector for $N_f=2$ is extended to include dynamical photons, thereby allowing a complete treatment of isospin breaking. A minimal set of independent chiral lagrangian terms is determined and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ananthanarayan , B. Moussallam

Perturbation theory is an important tool to describe the properties of QCD at very high temperatures. Recently a new technique has been proposed to compute the one-loop effective action of QCD at finite temperature by making a gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias

Chiral perturbation theory (ChPT) is a low-energy effective field theory of QCD and also a nonlinear sigma model based on the symmetry breaking pattern ${\rm SU}(N_f)\times {\rm SU}(N_f)\to {\rm SU}(N_f)$. In the limit of massless $N_f$…

High Energy Physics - Phenomenology · Physics 2021-01-04 Lin Dai , Ian Low , Thomas Mehen , Abhishek Mohapatra

Chiral perturbation theory (ChPT) is the effective field theory of the strong interactions at low energies. We will address the issue of a consistent power counting scheme in a manifestly Lorentz-invariant formulation of baryon ChPT. As…

High Energy Physics - Phenomenology · Physics 2009-01-08 Stefan Scherer

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

The Chiral Perturbation Theory (ChPT) has been very successful in describing low-energy hadronic properties in the non-perturbative regime of Quantum Chromodynamics. The results of ChPT, many of which are currently under active experimental…

High Energy Physics - Phenomenology · Physics 2019-12-11 A. Aleksejevs , S. Barkanova

There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we perform the one-loop renormalization of a…

High Energy Physics - Phenomenology · Physics 2020-03-18 Oscar Cata , Christoph Mueller

I discuss the conditions under which the application of chiral perturbation theory to the NN potential gives reliable results for NN scattering phase shifts. ChiPT also yields a convergent expansion for the deuteron charge operator. For…

Nuclear Theory · Physics 2015-05-20 Daniel R. Phillips

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In…

High Energy Physics - Theory · Physics 2014-05-15 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We construct the Chiral Perturbation Theory operators for neutron-antineutron oscillations and use these to estimate chiral and finite volume corrections at one-loop order.

High Energy Physics - Phenomenology · Physics 2018-01-17 Johan Bijnens , Erik Kofoed

The generating function method is applied to the trace of the heat kernel and the one-loop effective action derived from the covariant perturbation theory. The basis of curvature invariants of second order for the heat kernel (Green…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrei Barvinsky , Yuri Gusev

We construct the generating functional of two flavor chiral perturbation theory including the effects of virtual photons in the one loop approximation. As an application, we calculate the electromagnetic corrections to the elastic $\pi\pi$…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulf-G. Meißner , G. Müller , S. Steininger
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