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Related papers: Background Field Method and Generalized Field Rede…

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The application of the background-field method to the electroweak Standard Model and its virtues are reviewed. Special emphasis is directed to the Ward identities that follow from the gauge invariance of the background-field effective…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. Denner , S. Dittmaier , G. Weiglein

We introduce a new background field method for N=2 superspace. (We treat projective hyperspace, but similar remarks apply for the harmonic case.) In analogy to N=1, background gauge fields are in the real representation, so the…

High Energy Physics - Theory · Physics 2013-07-12 Dharmesh Jain , Warren Siegel

On-shell amplitudes are invariant under field redefinitions. Nonderivative field redefinitions have a natural interpretation as coordinate transformations on the target manifold. General field redefinitions, which may involve derivatives,…

High Energy Physics - Theory · Physics 2025-09-26 Timothy Cohen , Xu-Xiang Li , Zhengkang Zhang

The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , V. D. Pershin , G. B. Toder

A nonlinear Wightman field is taken to be a nonlinear map from a linear space of test functions to a linear space of Hilbert space operators, with inessential modifications to other axioms only to the extent dictated by the introduction of…

Mathematical Physics · Physics 2012-12-07 Peter Morgan

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

Non equilibrium effective field theory is presented as an inhomogeneous field theory, using a formulation which is analogous to that of a gauge theory. This formulation underlines the importance of structural aspects of non-equilibrium,…

High Energy Physics - Theory · Physics 2007-05-23 Mark Burgess

The low-energy structure of hadrons can be described systematically using effective field theory, and the parameters of the effective theory can be determined from lattice QCD computations. Recent work, however, points to inconsistencies…

High Energy Physics - Phenomenology · Physics 2014-03-26 Jong-Wan Lee , Brian C. Tiburzi

We show that the renormalisation of the N=1 supersymmetric gauge theory when working in the component formalism, without eliminating auxiliary fields and using a standard covariant gauge, requires a non-linear renormalisation of the…

High Energy Physics - Theory · Physics 2009-11-11 I. Jack , D. R. T. Jones , L. A. Worthy

A nonlocal generalization of quantum field theory in which momentum space is the space of continuous maps of a circle into $\mathbf{R}^4$ is proposed. Functional integrals in this theory are proved to exist. Renormalized quantum field model…

High Energy Physics - Theory · Physics 2007-05-23 Yu. P. Solovyov , V. V. Belokurov , E. T. Shavgulidze

We argue that the renormalizability of interacting quantum field theory on the curved-space background with an additional external antisymmetric tensor (two-form) field requires nonminimal interaction of the antisymmetric field with quantum…

High Energy Physics - Theory · Physics 2025-09-09 Ioseph L. Buchbinder , Thomas M. Sangy , Ilya L. Shapiro

We combine a recent construction of a BRST-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well as BRST invariance of the quantum…

High Energy Physics - Theory · Physics 2023-01-04 Holger Gies , Dimitrios Gkiatas , Luca Zambelli

The quantum dynamics of a two-dimensional charged spin $1/2$ particle is studied for general, symmetry--free curved surfaces and general, nonuniform magnetic fields that are, when different from zero, orthogonal to the defining two surface.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Robert Alicki , John R. Klauder , Jerzy Lewandowski

The issue of field redefinition invariance of path integrals in quantum field theory is reexamined. A ``paradox'' is presented involving the reduction to an effective quantum-mechanical theory of a $(d+1)$-dimensional free scalar field in a…

High Energy Physics - Theory · Physics 2007-05-23 Karyn M. Apfeldorf , Horacio E. Camblong , Carlos R. Ordonez

We demonstrate our simple strategy for renormalization with QED at one-loop level, basing on an elaboration of the effective field theory philosophy. No artificial regularization or deformation of the original theory is introduced here and…

High Energy Physics - Theory · Physics 2014-11-20 Ji-Feng Yang , Zhao-Ting Pan

I review some older work on the effective potentials of quantum field theories, in particular the use of anomalous symmetries to constrain the form of the effective potential, and the background field method for evaluating it…

High Energy Physics - Theory · Physics 2007-05-23 Kristian D. Kennaway

We address the question of whether the quantum scale-invariant theories introduced in [1] are renormalizable or play the role of effective field theories that are valid below the Planck scale $M_P$. We show that starting from two-loop level…

High Energy Physics - Theory · Physics 2009-06-01 M. E. Shaposhnikov , F. V. Tkachov

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