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Using the derivative expansion applied to the Wigner transform of the two - point Green function this is possible to derive the response of various nondissipative currents to the external gauge fields. The corresponding currents are…

High Energy Physics - Phenomenology · Physics 2021-04-30 M. A. Zubkov , Z. V. Khaidukov

Recently two-loop electroweak corrections to the neutral current four-fermion processes at high energies have been presented. The basic ingredient of this calculation is the evaluation of the two-loop corrections to the Abelian vector form…

High Energy Physics - Phenomenology · Physics 2009-01-07 Bernd Jantzen , Vladimir A. Smirnov

In this study, we first heuristically construct the charges corresponding to the chiral transformation associated with the large U(1) gauge symmetry. We refer to these as the large chiral charges, and to the chiral transformation they…

High Energy Physics - Theory · Physics 2026-02-18 Shingo Takeuchi

We extend the fixed-charge semiclassical method by computing anomalous dimensions of fixed-charge scalar operators in models with Yukawa interactions. In particular, we discuss the Nambu-Jona-Lasinio-Yukawa theory as well as an…

High Energy Physics - Theory · Physics 2022-11-23 Oleg Antipin , Jahmall Bersini , Pantelis Panopoulos

In the framework of a gauge invariant continuous and non-perturbative regularization scheme based on the smearing of point like interactions by means of cutoff functions, we show that the axial anomaly, though cutoff independent, depends on…

High Energy Physics - Theory · Physics 2011-09-13 J. L. Jacquot

The trace anomaly for a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary is considered. In the context of a perturbative evaluation of the theory's effective action explicit…

High Energy Physics - Theory · Physics 2009-11-10 George Tsoupros

We use simple iterated one-loop graphs in massless Yukawa theory and QED to pose the following question: what are the symmetries of the residues of a graph under a permutation of places to insert subdivergences. The investigation confirms…

High Energy Physics - Theory · Physics 2009-11-07 Isabella Bierenbaum , Richard Kreckel , Dirk Kreimer

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

Statistical Mechanics · Physics 2009-11-07 E. Korutcheva , V. Del Prete

We have developed a variational perturbation theory based on the Liouville-Neumann equation, which enables one to systematically compute the perturbative correction terms to the variationally determined wave functions of the time-dependent…

High Energy Physics - Theory · Physics 2008-11-26 Dongsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

The adaptive perturbation chooses a non-standard decomposition. The Hamiltonian becomes a sum of solvable and perturbation parts. We calculate the spectrum using the adaptive perturbation method at the leading-order to compare to numerical…

Quantum Physics · Physics 2021-07-08 Chen-Te Ma

The effect of anomalous couplings in $\gamma \gamma \to W^+ W^-$ is studied for different energies of the $\gamma \gamma$ mode of the next linear collider. The analysis based on the maximum likelihood method exploits the variables in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Baillargeon , G. Bélanger , F. Boudjema

Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of the ABC model, we show that this size dependence becomes…

Statistical Mechanics · Physics 2015-05-30 Antoine Gerschenfeld , Bernard Derrida

We present a method that formally calculates \emph{exact} frequency shifts of an electromagnetic field for arbitrary changes in the refractive index. The possible refractive index changes include both anisotropic changes and boundary…

Optics · Physics 2007-05-23 Lars Rindorf , Niels Asger Mortensen

In a previous paper it has been shown that the infra-red divergence associated with the triangle graph axial anomaly can occur in triple-regge multi-reggeon interactions due to unphysical asymptotic triple discontinuities. In this paper an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan R. White

We show that for two non-trivial lambda phi ^4 problems (the anharmonic oscillator and the Landau-Ginzburg hierarchical model), improved perturbative series can be obtained by cutting off the large field contributions. The modified series…

High Energy Physics - Theory · Physics 2009-11-07 Y. Meurice

We determine the numerical values of scalar multi-loop two-vertex Feynman diagrams, the generalized sunset diagrams, by integrating all but the longitudinal momenta analytically. For the longitudinal momenta we introduce one collective…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. E. Ligterink

We study the production amplitude for the reaction NN->NNpi up to next--to--leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we…

Nuclear Theory · Physics 2009-11-11 V. Lensky , V. Baru , J. Haidenbauer , C. Hanhart , A. E. Kudryavtsev , U. -G. Meißner

Using the higher covariant derivatives regularization of gauge theories in the framework of the background field method, supplemented with one-loop Pauli-Villars regulator fields, we obtain a version of the renormalization group equation…

High Energy Physics - Theory · Physics 2014-11-18 S. Chiantese

We derive anomalous equations of state for nonrelativistic 2D complex bosonic fields with contact interactions, using Fujikawa's path-integral approach to anomalies and scaling arguments. In the process, we derive an anomalous virial…

Quantum Gases · Physics 2016-01-20 Carlos R. Ordonez

We work out in the forward limit and up to order $e^6$ in perturbation theory the collinear divergences. In this kinematical regime we discover new collinear divergences that we argue can be only cancelled using quantum interference with…

High Energy Physics - Theory · Physics 2020-10-28 Cesar Gomez , Raoul Letschka