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The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of few atomically thick layers and the corresponding effective (2+1)-dimensional gauge theory is formulated. This dimensionally reduced…

Strongly Correlated Electrons · Physics 2024-06-04 E. V. Gorbar , V. P. Gusynin , M. R. Parymuda

In this paper the nonperturbative analysis of the spectrum for one-particle excitations of the electron-positron field (EPF) is considered in the paper. A standard form of the quantum electrodynamics (QED) is used but the charge of the…

High Energy Physics - Theory · Physics 2007-05-23 I. D. Feranchuk

The requirement that the quantum partition function be invariant under a renormalization group transformation results in a wide class of exact renormalization group equations, differing in the form of the kernel. Physical quantities should…

High Energy Physics - Theory · Physics 2009-11-07 Stefano Arnone , Antonio Gatti , Tim R. Morris

Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

High Energy Physics - Theory · Physics 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner

The regularization of quantum electrodynamics in the space of functions $\psi_a(x)$, which depend on both the position $x$ and the scale $a$, is presented. The scale-dependent functions are defined in terms of the continuous wavelet…

High Energy Physics - Theory · Physics 2021-01-04 Mikhail Altaisky , Robin Raj

We address the issue of radiative corrections to Kaluza-Klein (KK) masses in five-dimensional QED supplemented by aether Lorentz-violating terms. Specifically, we compute the corrections to the KK photon masses from one fermion loop. In…

High Energy Physics - Phenomenology · Physics 2020-10-14 R. J. S. Oliveira , A. Pinzul , M. A. Anacleto , E. Passos , F. A. Brito , O. Holanda

Zeta-function regularization is applied to complete a recent analysis of the quantized electromagnetic field in the presence of boundaries. The quantum theory is studied by setting to zero on the boundary the magnetic field, the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Giampiero Esposito , Alexander Yu. Kamenshchik , Igor V. Mishakov , Giuseppe Pollifrone

In this work we study a z=3 Horava-Lifshitz-like extension of QED in (3+1) dimensions. We calculate the one-loop radiative corrections to the two and three-point functions of the gauge and fermion fields. Such corrections were achieved…

High Energy Physics - Theory · Physics 2018-11-30 M. Gomes , F. Marques , T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

Accurate calculations of macroscopic and mesoscopic properties in quantum electrodynamics require careful treatment of infrared divergences: standard treatments introduce spurious large-distances effects. A method for computing these…

Quantum Physics · Physics 2009-10-28 Henry P. Stapp , Takahiro Kawai

In this paper we investigate the phenomenological implications of boundary localized terms (BLTs) in the model of Universal Extra Dimensions (UED). In particular, we study the electroweak Kaluza-Klein mass spectrum resulting from BLTs and…

High Energy Physics - Phenomenology · Physics 2009-11-13 Thomas Flacke , A. Menon , Daniel J. Phalen

We provide a re-analysis of the $5D$ Kaluza-Klein theory by implementing the polymer representation of the dynamics, both on a classical and a quantum level, in order to introduce in the model information about the existence of a cut-off…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Giovanni Montani , Sebastiano Segreto

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

We consider a version of Kaluza-Klein theory where the cylinder condition is not imposed. The metric is allowed to have explicit dependence on the "extra" coordinate(s). This is the usual scenario in brane-world and space-time-matter…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Ponce de Leon

The fermion electromagnetic mass has been evaluated in 3-dimensional electrodynamics in the first nonvanishing order of N^-1 approximation (N is the number of the fermions in the model). It is established, that, if one proceeds from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Sh. Pevzner

The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We…

High Energy Physics - Phenomenology · Physics 2015-05-18 Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

We present a method to control the regularization scheme dependence in the running of couplings in Kaluza-Klein theories. Specifically we consider the scalar theory in five dimensions, assuming that one dimension is compactified and we…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jisuke Kubo , Haruhiko Terao , George Zoupanos

Perturbative breaking of supersymmetry in four-dimensional string theories predict in general the existence of new large dimensions at the TeV scale. Such dimensions can be consistent with perturbative unification up to the Planck scale in…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , K. Benakli

For ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives in the general $\xi$-gauge we calculate the three-loop anomalous dimension of the matter superfields defined in terms of the bare coupling constant and demonstrate…

High Energy Physics - Theory · Physics 2022-05-04 Ilya Shirokov , Konstantin Stepanyantz

We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant and an arbitrary number of fermion representations. One example of such a model…

High Energy Physics - Phenomenology · Physics 2017-07-25 K. G. Chetyrkin , M. F. Zoller

We present a N-dimensional quantization a la Berezin-Klauder or frame quantization of the complex plane based on overcomplete families of states (coherent states) generated by the N first harmonic oscillator eigenstates. The spectra of…

Quantum Physics · Physics 2011-11-09 Jean-Pierre Gazeau , François-Xavier Josse-Michaux , Pascal Monceau