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Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

High Energy Physics - Theory · Physics 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown…

High Energy Physics - Theory · Physics 2009-10-31 G. Barnich , P. A. Grassi

We construct a manifestly gauge invariant Exact Renormalisation Group (ERG) whose form is suitable for computation in SU(N) Yang-Mills theory, beyond one-loop. An effective cutoff is implemented by embedding the physical SU(N) theory in a…

High Energy Physics - Theory · Physics 2009-09-29 Oliver J. Rosten

The action of general relativity with fermions has two independent symmetries: general coordinate invariance and local Lorentz invariance. General coordinate transformations act on coordinates and tensor indices, while local Lorentz…

High Energy Physics - Theory · Physics 2024-04-10 Kevin Cahill

The consistent description of unstable particles, renormalons, or other Schwinger--Dyson-type of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions,…

High Energy Physics - Phenomenology · Physics 2011-08-17 Joannis Papavassiliou , Apostolos Pilaftsis

By undertaking additional analyses postponed in a previous paper, we complete our construction of a manifestly supersymmetric gauge-covariant regularization of supersymmetric chiral gauge theories. We present the following: An evaluation of…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is…

High Energy Physics - Theory · Physics 2018-08-01 I. L. Buchbinder , P. M. Lavrov

The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to…

High Energy Physics - Theory · Physics 2009-10-31 Hai-cang Ren

The dimension two gauge invariant non-local operator $A_{\min }^{2}$, obtained through the minimization of $\int d^4x A^2$ along the gauge orbit, allows to introduce a non-local gauge invariant configuration $A^h_\mu$ which can be employed…

High Energy Physics - Theory · Physics 2018-03-14 M. A. L. Capri , D. M. van Egmond , G. Peruzzo , M. S. Guimaraes , O. Holanda , S. P. Sorella , R. C. Terin , H. C. Toledo

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

We develop a quantum effective action for scalar-tensor theories of gravity which is both spacetime diffeomorphism invariant and field reparameterisation (frame) invariant beyond the classical approximation. We achieve this by extending the…

High Energy Physics - Theory · Physics 2020-08-26 Kieran Finn , Sotirios Karamitsos , Apostolos Pilaftsis

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Peldan

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

A manifestly gauge invariant continuous renormalization group flow equation is constructed for pure SU(N) gauge theory. The formulation makes sense without gauge fixing and manifestly gauge invariant calculations may thus be carried out.…

High Energy Physics - Theory · Physics 2009-10-31 Tim R. Morris

We report on the work presented in Phys. Lett. B712 (2012) 97, where a new one-parameter family of Landau gauges has been proposed for Yang-Mills theories, inspired by an analogy with disordered systems in condensed matter physics. This is…

High Energy Physics - Theory · Physics 2013-01-16 Julien Serreau

We propose a unifying theory for both the integral and fractional quantum Hall regimes. This theory reconciles the Finkelstein approach to localization and interaction effects with the topological issues of an instanton vacuum and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. M. M. Pruisken , M. A. Baranov , B. Skoric

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in…

High Energy Physics - Theory · Physics 2021-07-29 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

Previous investigations on the renormalizability properties of Lorentz-violating Yang-Mills (LVYM) theories in the Landau gauge have pointed out the necessity of the inclusion of a mass-like term for the gauge fields. If one aims at…

High Energy Physics - Theory · Physics 2025-01-28 Antonio D. Pereira

Much like the action, diffeomorphism invariance can be used to fix the form of the path integral measure in quantum gravity. Moreover, since there is a redundancy between what constitutes "the action" and what constitutes "the measure" one…

High Energy Physics - Theory · Physics 2025-03-06 Alfio Bonanno , Kevin Falls , Renata Ferrero

Working with a gauge coupling field in a linear superfield, we construct effective Lagrangians for N=1 super-Yang-Mills theory fully compatible with the expected all-order behaviour or physical quantities. Using the one-loop dependence on…

High Energy Physics - Theory · Physics 2016-12-28 Nicola Ambrosetti , Daniel Arnold , Jean-Pierre Derendinger , Jelle Hartong