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We study exact solutions of Dirac and Klein-Gordon equations and Green functions in d-dimensional QED and in an external electromagnetic field with constant and homogeneous field invariants. The cases of even and odd dimensions are…

High Energy Physics - Theory · Physics 2016-09-06 S. P. Gavrilov , D. M. Gitman , A. E. Goncalves

The semi-analytical $O(\alpha_s^4)$ expression for the renormalization group $\beta$-function in the ${\rm{V}}$-scheme is obtained in the case of the $SU(N_c)$ gauge group. In the process of calculations we use the existing information…

High Energy Physics - Phenomenology · Physics 2015-10-13 A. L. Kataev , V. S. Molokoedov

We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only…

High Energy Physics - Theory · Physics 2018-09-03 Leonardo Modesto , Leslaw Rachwal

Recently, a mechanism for electroweak symmetry breaking (EWSB) was discussed, in which the scale of EWSB is set by the scale of an additional dimension R ~ Tev^-1. The mechanism involves supersymmetry, but broken in such a fashion that high…

High Energy Physics - Phenomenology · Physics 2007-05-23 Neal Weiner

We discuss the experimental engineering of model systems for the description of QED in one spatial dimension via a mixture of bosonic $^{23}$Na and fermionic $^6$Li atoms. The local gauge symmetry is realized in an optical superlattice,…

Quantum Gases · Physics 2017-02-16 V. Kasper , F. Hebenstreit , F. Jendrzejewski , M. K. Oberthaler , J. Berges

Within the framework of the (3+1)-dimensional Lorentz-violating extended electrodynamics including the CPT-odd Chern-Simons term, we consider the electromagnetic field between the two parallel perfectly conducting plates. We find the…

High Energy Physics - Theory · Physics 2010-04-06 O. G. Kharlanov , V. Ch. Zhukovsky

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet

A new version of application Pauli-Villars regularized Green functions in the quantum field theory using higher derivatives is proposed. In this version the regularizing mass $M$ is large but finite. Our approach is demonstrated and…

High Energy Physics - Theory · Physics 2007-05-23 D. Ts. Stoyanov

The parity-preserving $U_A(1)\times U_a(1)$ massive QED$_3$ is ultraviolet finiteness -- exhibits vanishing $\beta$-functions, associated to the gauge coupling constants (electric and pseudochiral charges) and the Chern-Simons mass…

High Energy Physics - Theory · Physics 2021-05-20 W. B. De Lima , O. M. Del Cima , E. S. Miranda

The ultra-violet behavior of Kaluza-Klein theories on a one dimensional orbifold is discussed. An extension of dimensional regularization that can be applied to a compact dimension is presented. Using this, the FI-tadpole is calculated in…

High Energy Physics - Theory · Physics 2007-05-23 S. Groot Nibbelink

We investigate defects in scalar field theories in four and six dimensions in a double-scaling (semiclassical) limit, where bulk loops are suppressed and quantum effects come from the defect coupling. We compute $\beta $-functions up to…

High Energy Physics - Theory · Physics 2023-08-15 I. Carreño Bolla , D. Rodriguez-Gomez , J. G. Russo

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

High Energy Physics - Theory · Physics 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize…

High Energy Physics - Phenomenology · Physics 2021-04-28 Alexander Bednyakov , Andrey Pikelner

We show that free QED is equivalent to the continuous-space-and-time limit of Fermi and Bose lattice quantum cellular automata theories derived from quantum random walks satisfying simple symmetry and unitarity conditions. In doing so we…

Quantum Physics · Physics 2025-05-05 Todd A. Brun , Leonard Mlodinow

In this paper the electron self-energy, photon self-energy and vertex functions are explicitly calculated in Krein space quantization including quantum metric fluctuation. The results are automatically regularized or finite. The magnetic…

High Energy Physics - Phenomenology · Physics 2015-06-05 B. Forghan , M. V. Takook , A. Zarei

In this brief review we discuss the viability of a multidimensional geometrical theory with one compactified dimension. We discuss the case of a Kaluza Klein fifth dimensional theory, addressing the problem by an overview of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 D. Pugliese , G. Montani

Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as…

Quantum Gases · Physics 2017-03-07 M. D. Hoffman , A. C. Loheac , W. J. Porter , J. E. Drut

In the last two years the renormalization group functions for the couplings and fields of the Standard Model have been computed at three-loop level. The evolution of the self-coupling $\lambda$ of the Standard Model Higgs boson is of…

High Energy Physics - Phenomenology · Physics 2014-07-25 Max F. Zoller

Calculations of the two-loop $\beta$-function for N=1 supersymmetric electrodynamics are compared for regularizations by higher derivatives and by the dimensional reduction. The renormalized effective action are found to be the same for…

High Energy Physics - Theory · Physics 2007-05-23 K. V. Stepanyantz

An analysis of the effects associated with the Kaluza-Klein excitations of the photon and of the W and Z bosons on g_{\mu}-2 for d number of extra dimensions with large radius compactifications is given. The Kaluza-Klein effects on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Pran Nath , Masahiro Yamaguchi