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In this paper we establish new renormalized oscillation theorems for discrete symplectic eigenvalue problems with Dirichlet boundary conditions. These theorems present the number of finite eigenvalues of the problem in arbitrary interval…

动力系统 · 数学 2021-07-06 Julia Elyseeva

We present a method to perform renormalized perturbation calculation in gauge theories with chiral fermions. We find it proper to focus directly on the Ward-Takahashi identities, relegating dimensional regularization into a supplementary…

高能物理 - 理论 · 物理学 2009-10-30 Hung Cheng , S. P. Li

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet…

高能物理 - 唯象学 · 物理学 2021-06-22 Martin Lüscher , Peter Weisz

We give an introduction to renormalisation, focusing first on a pedagogical description of fundamental concepts of the procedure and its features, then we introduce the renormalisation group and its equations. We discuss then the case of…

高能物理 - 唯象学 · 物理学 2026-05-21 Leonardo Di Giustino

We calculate symmetry-restoring counterterms in supersymmetric QCD at the one-loop level. First we determine loop corrections to the supersymmetry and gauge transformations and find counterterms in such a way that the symmetry algebra holds…

高能物理 - 唯象学 · 物理学 2009-09-25 W. Hollik , D. Stöckinger

We calculate non-singlet quark operator matrix elements of deep-inelastic scattering in the chiral limit including operators with total derivatives. This extends previous calculations with zero-momentum transfer through the operator vertex…

高能物理 - 唯象学 · 物理学 2021-09-14 S. Moch , S. Van Thurenhout

We give a wilsonian formulation of non-abelian gauge theories explicitly consistent with axial gauge Ward identitities. The issues of unitarity and dependence on the quantization direction are carefully investigated. A wilsonian computation…

高能物理 - 理论 · 物理学 2009-10-31 Michele Simionato

We consider the Adler-Bardeen anomaly of the U(1) axial current in abelian and non-abelian gauge theories and present its algebraic characterization as well as an explicit evaluation proving regularization scheme independence of the…

高能物理 - 理论 · 物理学 2007-05-23 Elisabeth Kraus

Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as ${\cal N}=0$, $U(N)^n$ gauge theories, however, they have mixed $U(1)_p U(1)_q^2$ and $U(1)_p…

高能物理 - 理论 · 物理学 2008-11-26 Edoardo Di Napoli , Paul H. Frampton

The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the…

高能物理 - 唯象学 · 物理学 2015-06-25 Hans-Christian Pauli

We study to one-loop order the renormalization of QCD in the Coulomb gauge using the Hamitonian formalism. Divergences occur which might require counter-terms outside the Hamiltonian formalism, but they can be cancelled by a redefinition of…

高能物理 - 理论 · 物理学 2009-09-28 A. Andrasi , J. C. Taylor

We study the renormalizability of (massive) topological QCD based on the algebraic BRST technique by adopting a non-covariant Landau type gauge and making use of the full topological superalgebra. The most general local counter terms are…

高能物理 - 理论 · 物理学 2009-11-07 Bodo Geyer , Dietmar Mülsch

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

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

Essential to QCD applications of the operator product expansion, etc., is a knowledge of those operators that mix with gauge-invariant operators. A standard theorem asserts that the renormalization matrix is triangular: Gauge-invariant…

高能物理 - 唯象学 · 物理学 2009-10-28 John C. Collins , Randall J. Scalise

We consider a very general dilaton-axion system coupled to Einstein-Hilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. This is achieved by developing a…

高能物理 - 理论 · 物理学 2016-02-12 Ioannis Papadimitriou

Complete two-loop calculation of a dimensionally regularized Wilson loop with light-like segments is performed in the light-like axial gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator. We find an expression which…

高能物理 - 唯象学 · 物理学 2009-10-22 A. Bassetto , I. A. Korchemskaya , G. P. Korchemsky , G. Nardelli

We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for…

高能物理 - 理论 · 物理学 2025-02-19 Konstantin Stepanyantz

We study the application of the Breitenlohner-Maison-'t Hooft-Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of chiral gauge theories, focusing on the specific counterterm structure required by the…

高能物理 - 唯象学 · 物理学 2020-08-26 Hermès Bélusca-Maïto , Amon Ilakovac , Marija Mađor-Božinović , Dominik Stöckinger

The complete set of Feynman rules for the rational part R of QCD corrections in the MSSM are calculated at the one-loop level, which can be very useful in the next-to-leading order calculations in supersymmetric models. Our results are…

高能物理 - 唯象学 · 物理学 2015-06-05 Hua-Sheng Shao , Yu-Jie Zhang

We propose an exact expression for the unintegrated form of the star gauge invariant axial anomaly in an arbitrary even dimensional gauge theory. The proposal is based on the inverse Seiberg-Witten map and identities related to it, obtained…

高能物理 - 理论 · 物理学 2016-12-21 Rabin Banerjee