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We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. We use the results to calculate the renormalization functions $\beta$, $\gamma$, $\gamma_m$ of…

高能物理 - 理论 · 物理学 2018-05-02 Oliver Schnetz

We study the one loop renormalization in the most general metric-dilaton theory with the second derivative terms only. The general theory can be divided into two classes, models of one are equivalent to conformally coupled with gravity…

高能物理 - 理论 · 物理学 2016-09-06 I. L. Shapiro , Hiroyuki Takata

We study elastic systems such as interfaces or lattices, pinned by quenched disorder. To escape triviality as a result of ``dimensional reduction'', we use the functional renormalization group. Difficulties arise in the calculation of the…

凝聚态物理 · 物理学 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

We analytically calculate to second order the correction to the asymptotic form of quasinormal frequencies of four dimensional Schwarzschild black holes based on the monodromy analysis proposed by Motl and Neitzke. Our results are in good…

高能物理 - 理论 · 物理学 2008-11-26 Hsien-chung Kao

This is the second of a series of papers on the radiative corrections of order $\alpha^2 (Z\alpha)$, $\alpha (Z\alpha )^2$, and various logarithmic terms of order $\alpha^4$, to the hyperfine structure of the muonium ground state. This…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Nio , T. Kinoshita

We show that renormalization in quantum field theory is a special instance of a general mathematical procedure of multiplicative extraction of finite values based on the Riemann-Hilbert problem. Given a loop $\gamma(z), | z |=1$ of elements…

高能物理 - 理论 · 物理学 2009-10-31 Alain Connes , Dirk Kreimer

We analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Diana López Nacir , Francisco D. Mazzitelli

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of…

高能物理 - 格点 · 物理学 2018-11-19 Andrea Carosso , Anna Hasenfratz , Ethan T. Neil

This is the first of a series of papers on a systematic application of the NRQED bound state theory of Caswell and Lepage to higher-order radiative corrections to the hyperfine structure of the muonium ground state. This paper describes the…

高能物理 - 唯象学 · 物理学 2009-10-28 T. Kinoshita , M. Nio

The relation between renormalization and short distance singular divergencies in quantum field theory is studied. As a consequence a finite theory is presented. It is shown that these divergencies are originated by the multiplication of…

量子物理 · 物理学 2014-11-18 Mario Castagnino

Radiative corrections in quantum field theories with small departures from Lorentz symmetry alter structural aspects of the theory, in particular the definition of asymptotic single-particle states. Specifically, the mass-shell condition,…

高能物理 - 唯象学 · 物理学 2014-10-07 Mauro Cambiaso , Ralf Lehnert , Robertus Potting

In this paper we study systematically the Euclidean renormalization in configuration spaces. We investigate also the deviation from commutativity of the renormalization and the action of all linear partial differential operators. This…

数学物理 · 物理学 2009-03-29 Nikolay M. Nikolov

In this paper we discuss the global symmetries and the renormalizibility of Lee-Wick scalar QED. In particular, in the "auxiliary-field" formalism we identify softly broken SO(1,1) global symmetries of the theory. We introduce SO(1,1)…

高能物理 - 唯象学 · 物理学 2014-11-21 R. Sekhar Chivukula , Arsham Farzinnia , Roshan Foadi , Elizabeth H. Simmons

We derive the corrections to the conformal dimensions of twisted Ramond ground states in the deformed two-dimensional $\mathcal N = (4,4)$ superconformal $(\mathbb T^4)^N/S_N$ orbifold theory describing bound states of the D1-D5 brane…

高能物理 - 理论 · 物理学 2020-07-22 A. A. Lima , G. M. Sotkov , M. Stanishkov

We propose a model of a relativistic string formed by a scalar complex field, acting as electromagnetic field source. An axiosymmetric solutions of the stationary equations for the scalar and electromagnetic fields are found numerically.…

高能物理 - 理论 · 物理学 2007-05-23 E. P. Likhtman

Recent progress in calculations of QED radiative corrections to parity nonconservation in atoms is reviewed. The QED vacuum polarization, the self-energy corrections and the vertex corrections are shown to be described very reliably by…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Yu. Kuchiev , V. V. Flambaum

We present a new calculation, in the nonrelativistic QCD (NRQCD) factorization formalism, of the relativistic corrections to the double-charmonium cross section sigma[e+ e- -> J/psi+eta_c] at the energy of the Belle and BABAR experiments.…

高能物理 - 唯象学 · 物理学 2008-11-26 Geoffrey T. Bodwin , Jungil Lee , Chaehyun Yu

In the framework of dimensional regularization, we propose a generalization of the renormalization group equations in the case of the perturbative quantum gravity that involves renormalization of the metric and of the higher order Riemann…

高能物理 - 理论 · 物理学 2020-12-30 Sergey N. Solodukhin

QED perturbation theory has been conjectured to break down in sufficiently strong backgrounds, obstructing the analysis of strong-field physics. We show that the breakdown occurs even in classical electrodynamics, at lower field strengths…

高能物理 - 唯象学 · 物理学 2021-08-11 T. Heinzl , A. Ilderton , B. King

We consider a higher-derivative extension of QED modified by the addition of a gauge-invariant dimension-6 kinetic operator in the U(1) gauge sector. The Feynman diagrams at one-loop level are then computed. The modification in the spin-1…

高能物理 - 理论 · 物理学 2016-08-29 Rodrigo Turcati , Mário Júnior Neves
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