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We discuss gauge symmetry and Ward-Takahashi identities for Wilsonian flows in pure Yang-Mills theories. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective…

High Energy Physics - Theory · Physics 2009-10-31 Filipe Freire , Daniel F. Litim , Jan M. Pawlowski

A condensed introduction to quantum gauge theories is given in the perturbative S-matrix framework; path integral methods are used nowhere. This approach emphasizes the fact that it is not necessary to start from classical gauge theories…

High Energy Physics - Theory · Physics 2009-11-10 Andreas Aste

Using stochastic quantization method we derive gauge-invariant equations, connecting multilocal vacuum correlators of nonperturbative field configurations immersed into the quantum background. Three alternative methods of stochastic…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Antonov

We analyze the conceptual role of background independence in the application of the effective average action to quantum gravity. Insisting on a background independent renormalization group (RG) flow the coarse graining operation must be…

High Energy Physics - Theory · Physics 2009-10-29 Martin Reuter , Holger Weyer

One of the main achievements of LQG is the consistent quantization of the Wheeler-DeWitt equation which is free of UV problems. However, ambiguities associated to the intermediate regularization procedure lead to an apparently infinite set…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alejandro Perez

Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the use of explicit constraints in configuration space. For…

High Energy Physics - Theory · Physics 2017-01-04 C. Wetterich

We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_\xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by…

High Energy Physics - Theory · Physics 2021-02-23 Andrea Quadri

We consider gaugeon formulations which discuss the quantum gauge freedom covariantly in the framework of generalized BRST transformation for the Yang-Mills theory as well as the BRST invariant Higgs model. We generalize the BRST symmetries…

High Energy Physics - Theory · Physics 2014-05-20 Sudhaker Upadhyay , Bhabani Prasad Mandal

We generalise the $\eta$ regularisation scheme in order to develop a framework for systematically studying regularisation of loops in quantum field theory. This allows us to "solve" a set of gauge consistency conditions for families of…

High Energy Physics - Theory · Physics 2024-12-18 Antonio Padilla , Robert G. C. Smith

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

Quantum gravity can determine the dependence of gauge couplings in a scalar field, which is related to possible fifth forces and time varying fundamental "constants". This prediction is based on the scaling solution of functional flow…

High Energy Physics - Theory · Physics 2022-11-30 C. Wetterich

Quantum gravity effects of zeroth order in the Planck constant are investigated in the framework of the low-energy effective theory. A special emphasis is placed on establishing the correspondence between classical and quantum theories, for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Kazakov

The divergent part of the one-loop off-shell effective action is computed for a single scalar field coupled to the Ricci curvature of 2D gravity ($c \phi R$), and self interacting by an arbitrary potential term $V(\phi)$. The…

High Energy Physics - Theory · Physics 2009-10-22 R. Kantowski , Caren Marzban

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. Zet , C. D. Oprisan , S. Babeti

We provide a gauge covariant formalism of the canonically quantized theory of spin-3/2 Rarita-Schwinger gauge field. The theory admits a quantum gauge transformation by which we can shift the gauge fixing parameter. The quantum gauge…

High Energy Physics - Theory · Physics 2009-10-31 R. Endo , M. Koseki

We consider systems of two free particles in de Sitter invariant quantum theory and calculate the mean value of the mass operator for such systems. It is shown that, in addition to the well known relativistic contribution (and de Sitter…

High Energy Physics - Theory · Physics 2007-05-23 Felix Lev

We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is extended to framed loops. This allows an alternative nonperturbative quantization which is suitable for describing a phase of quantum…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Seth Major , Lee Smolin

Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only…

Quantum Physics · Physics 2022-01-21 Giulia Mazzola , Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

This paper studies the quantization of the electromagnetic field on a flat Euclidean background with boundaries. One-loop scaling factors are evaluated for the one-boundary and two-boundary backgrounds. The mode-by-mode analysis of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Esposito , A. Yu. Kamenshchik , I. V. Mishakov , G. Pollifrone
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