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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 review two different noncommutative gauge models generalizing approaches which lead to renormalizable scalar quantum field theories. One of them implements the crucial IR damping of the gauge field propagator in the so-called ``soft…

High Energy Physics - Theory · Physics 2011-05-18 Michael Wohlgenannt

Vacuum polarization and particle production effects in classical electromagnetic and gravitational backgrounds can be studied by the effective lagrangian method. Background field configurations for which the effective lagrangian is zero are…

High Energy Physics - Theory · Physics 2016-09-06 L. Sriramkumar , R. Mukund , T. Padmanabhan

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such…

High Energy Physics - Theory · Physics 2019-01-09 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We develop a perturbation theory of four-dimensional topological 2-form gravity without cosmological constant. A 2-form and an $SU(2)$ connection 1-form are used as fundamental variables instead of metric. There is no quantum correction…

High Energy Physics - Theory · Physics 2007-05-23 Tomoyuki Inui , Akika Nakamichi

We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription…

High Energy Physics - Theory · Physics 2015-06-26 P. Di Vecchia , A. Lerda , L. Magnea , R. Marotta , R. Russo

Dirac fermion fields are responsible for spontaneous symmetry breaking in gauge gravitation theory because the spin structure associated with a tetrad field is not preserved under general covariant transformations. Two solutions of this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Sardanashvily

Chiral perturbation theory is extended to nonrelativistic systems with spontaneously broken symmetry. In the effective Lagrangian, order parameters associated with the generators of the group manifest themselves as effective coupling…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

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

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

Field theories on deformed spaces suffer from the IR/UV mixing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this disease by adding one more marginal operator. We review these…

High Energy Physics - Theory · Physics 2008-11-26 Harald Grosse , Michael Wohlgenannt

We develop an unambiguous and practical method to calculate one-loop quantum corrections to the energies of classical time-independent field configurations in renormalizable field theories. We show that the standard perturbative…

High Energy Physics - Theory · Physics 2009-10-31 Edward Farhi , Noah Graham , Peter E. Haagensen , Robert L. Jaffe

Renormalization group methods are applied to a scalar field within a finite, nonlocal quantum field theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem in scalar field theory, the…

General Physics · Physics 2021-11-22 M. A. Green , J. W. Moffat

Renormalization group transformations for Schr\"odinger equation are performed in $\phi^4$ and in Yang-Mills theories. The dependence of the ground state wave functional on rapidly oscillating fields is found. For Yang-Mills theory, this…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

The quantization of Einstein-Maxwell theory with a cosmological constant is considered. We obtain all logarithmically divergent terms in the one-loop effective action that involve only the background electromagnetic field. This includes…

High Energy Physics - Theory · Physics 2009-11-06 David J. Toms

A natural procedure is introduced to replace the traditional, perturbatively generated counter terms to yield a formulation of covariant, self-interacting, nonrenormalizable scalar quantum field theories that has the added virtue of…

High Energy Physics - Theory · Physics 2008-11-26 John R. Klauder

An appropriate field configuration in non-polynomial closed string field theory is shown to correspond to a general off-shell field configuration in low energy effective field theory. A set of string field theoretic symmetries that act on…

High Energy Physics - Theory · Physics 2009-09-15 Debashis Ghoshal , Ashoke Sen

In this paper we study U(1) gauge transformations on the space-time coordinates and on the background fields $g_{\mu\nu}$ and $\phi$. For some special gauge functions, gauged coordinates and gauged U(1) field are equivalent to the rotated…

High Energy Physics - Theory · Physics 2009-11-07 Davoud Kamani

The recent formulation of locally covariant quantum field theory may open the way towards a background independent perturbative formulation of Quantum Gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Romeo Brunetti , Klaus Fredenhagen