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We formulate the Exact Renormalization Group on the string world sheet for closed string backgrounds. The same techniques that were used for open strings is used here. There are some subtleties. One is that holomorphic factorization of the…

高能物理 - 理论 · 物理学 2015-06-16 B. Sathiapalan

The one-loop renormalizability of the electroweak sector of the Standard Model Extension with Lorentz violation is studied. Functional determinants are used to calculate the one-loop contributions of the higgs, gauge bosons and fermions to…

高能物理 - 唯象学 · 物理学 2009-08-03 Don Colladay , Patrick McDonald

This paper is a self contained review of the Loop Variable approach to string theory. The Exact Renormalization Group is applied to a world sheet theory describing string propagation in a general background involving both massless and…

高能物理 - 理论 · 物理学 2015-12-09 B. Sathiapalan

We propose using the method of subtraction to renormalize quantum gauge theories with chiral fermions and with spontaneous symmetry breaking. The Ward-Takahashi identities derived from the BRST invariance in these theories are complex and…

高能物理 - 理论 · 物理学 2008-02-03 Hung Cheng , S. P. Li

We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional $\sigma$ model it is demonstrated that the background-field method gives…

高能物理 - 理论 · 物理学 2007-05-23 L. V. Avdeev , D. I. Kazakov , M. Yu. Kalmykov

A cutoff regularization for a pure Yang-Mills theory is implemented within the background field method keeping explicit the gauge invariance of the effective action. The method has been applied to compute the beta function at one loop…

高能物理 - 理论 · 物理学 2011-07-19 M. Bonini , E. Tricarico

We present a regularization scheme which respects the supersymmetry and the maximal background gauge covariance in supersymmetric chiral gauge theories. When the anomaly cancellation condition is satisfied, the effective action in the…

高能物理 - 理论 · 物理学 2008-11-26 Hiroshi Suzuki

We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different…

高能物理 - 格点 · 物理学 2015-09-02 Matteo Giordano

A generalization of the standard electroweak model to noncommutative spacetime would involve a product gauge group which is spontaneously broken. Gauge interactions in terms of physical gauge bosons are canonical with respect to massless…

高能物理 - 理论 · 物理学 2009-11-07 Yi Liao

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

高能物理 - 格点 · 物理学 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

Electric charge, as defined in the Thomson limit of the electron--photon interaction vertex, is renormalized to all orders both in the Standard Model and in any spontaneously broken gauge theory with gauge group GxU(1) with a group factor…

高能物理 - 唯象学 · 物理学 2021-09-09 Stefan Dittmaier

According to the introduction of a minimal length to quantum field theory which is directly related to a generalized uncertainty principle the implementation of the gauge principle becomes much more intricated. It has been shown in another…

高能物理 - 唯象学 · 物理学 2011-09-29 Martin Kober

We introduce an approach for calculating the quantum loop corrections in the $\phi^4$ theory. Differential regularization and background-field method are essential tools and are used to calculate the effective action of the theory to…

高能物理 - 理论 · 物理学 2007-05-23 Yaw-Hwang Chen , Min-Tsung He , Su-Long Nyeo

In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to…

高能物理 - 理论 · 物理学 2007-05-23 Federica Vian

We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the $\overline{\mathrm{MS}}$ scheme at full order ${\cal O}(\alpha^2)$ in the Standard Model. These enter as threshold…

高能物理 - 唯象学 · 物理学 2015-05-06 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we perform the one-loop renormalization of a…

高能物理 - 唯象学 · 物理学 2020-03-18 Oscar Cata , Christoph Mueller

Descriptions of the ground state in unbroken gauge theories with charged particles are discussed. In particular it is shown that the on-shell Green's functions and S-matrix elements corresponding to the scattering of these variables in QED…

高能物理 - 理论 · 物理学 2007-05-23 Emili Bagan , Martin Lavelle , David McMullan

The electroweak equivalence theorem quantitatively connects the physical amplitudes of longitudinal massive gauge bosons to those of the corresponding ``unphysical'' would-be Goldstone bosons. Its precise form depends on both the gauge…

高能物理 - 唯象学 · 物理学 2011-08-17 H. -J. He , W. B. Kilgore

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

The electroweak model is formulated on the nonlinearly realized gauge group SU(2) X U(1). This implies that in perturbation theory no Higgs field is present. The paper provides the effective action at the tree level, the Slavnov Taylor…

高能物理 - 唯象学 · 物理学 2010-11-22 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri