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I investigate the Nambu-Goto and Polyakov strings, accounting for higher-derivative terms in the emergent action for the metric tensor which are classically negligible for smooth metrics but revive quantumly. Using the conformal field…

高能物理 - 理论 · 物理学 2023-04-19 Yuri Makeenko

We extend the QCD Lagrangian to include Pauli-Villars (PV) gluons, quarks, and ghosts in such a way as to retain BRST invariance in an arbitrary covariant gauge. The extended Lagrangian can provide a starting point for nonperturbative…

高能物理 - 理论 · 物理学 2015-06-18 Sophia S. Chabysheva , John R. Hiller

The Pauli-Villars regularization scheme is often used for evaluating parton distributions within the framework of the chiral quark soliton model with inclusion of the vacuum polarization effects. Its simplest version with a single…

高能物理 - 唯象学 · 物理学 2009-10-31 T. Kubota , M. Wakamatsu , T. Watabe

We show that a choice of Pauli-Villars regulators allows the cancellation of all conformal and chiral anomalies in an effective field theory from Z_3 compactification of the heterotic string with two Wilson lines and an anomalous U(1).

高能物理 - 理论 · 物理学 2019-10-09 Mary K. Gaillard , Jacob Leedom

We compute the beta function at one loop for Yang-Mills theory using as regulator the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Faddeev and Slavnov. This regularization prescription has the…

高能物理 - 理论 · 物理学 2009-10-28 C. P. Martin , F. Ruiz Ruiz

Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory. The generalized Pauli-Villars regularization is discussed from a…

高能物理 - 格点 · 物理学 2007-05-23 Kazuo Fujikawa

We present a coordinate-invariant approach, based on a Pauli-Villars measure, to the definition of the path integral in two-dimensional conformal field theory. We discuss some advantages of this approach compared to the operator formalism…

高能物理 - 理论 · 物理学 2009-09-29 André van Tonder

It is shown that, in QED$_{3}$, the Pauli-Villars regularization involving a pair of auxiliary fermion fields with masses of opposite sign leads to results that are consistent with those obtained using all other parity-preserving schemes of…

高能物理 - 理论 · 物理学 2007-05-23 L. R. Baboukhadia , A. A. Khelashvili , N. A. Kiknadze

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the…

高能物理 - 理论 · 物理学 2009-11-11 Ben Craps , Kostas Skenderis

We implement a proper-time UV regularisation of the Nambu-Goto string, introducing an independent metric tensor and the corresponding Lagrange multiplier, and treating them in the mean-field approximation justified for long strings and/or…

高能物理 - 理论 · 物理学 2016-03-30 Jan Ambjorn , Yuri Makeenko

On-shell Pauli-Villars regularization of the one-loop divergences of supergravity theories is used to study the anomaly structure of supergravity and the cancellation of field theory anomalies under a $U(1)$ gauge transformation and under…

高能物理 - 理论 · 物理学 2015-06-23 Daniel Butter , Mary K. Gaillard

We extend the idea of the generalized Pauli-Villars regularization of Frolov and Slavnov and analyze the general structure of the regularization scheme. The gauge anomaly-free condition emerges in a simple way in the scheme, and, under the…

高能物理 - 理论 · 物理学 2009-10-30 Kiyoshi Okuyama , Hiroshi Suzuki

We complete the proof of the ghost-dilaton theorem in string theory by showing that the coupling constant dependence of the vacuum vertices appearing in the closed string action is given correctly by one-point functions of the…

高能物理 - 理论 · 物理学 2009-10-28 Sabbir Rahman , Barton Zwiebach

We use Pauli-Villars regularization to evaluate the conformal and chiral anomalies in the effective field theories from Z3 and Z7 compactifications of the heterotic string without Wilson lines. We show that parameters for Pauli-Villars…

高能物理 - 理论 · 物理学 2018-03-14 Mary K. Gaillard , Jacob Leedom

We show that the Pauli-Villars regularized action for a scalar field in a gravitational background in 1+1 dimensions has, for any value of the cutoff M, a symmetry which involves non-local transformations of the regulator field plus (local)…

高能物理 - 理论 · 物理学 2009-10-31 Cesar D. Fosco , Francisco D. Mazzitelli

We review the history of the ghost problem in quantum field theory from the Pauli-Villars regulator theory to currently popular fourth-order derivative quantum gravity theories. While these theories all appear to have unitarity-violating…

高能物理 - 理论 · 物理学 2021-02-03 Philip D. Mannheim

A new symmetry-preserving loop regularization method proposed in \cite{ylw} is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of…

高能物理 - 理论 · 物理学 2009-11-10 Yue-Liang Wu

Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to derivation of the…

高能物理 - 理论 · 物理学 2007-05-23 D. V. Antonov

Four-dimensional quantum field theories generally require regularization to be well defined. This can be done in various ways, but here we focus on Pauli--Villars (PV) regularization and apply it to nonperturbative calculations of bound…

高能物理 - 唯象学 · 物理学 2011-03-10 J. R. Hiller

The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to…

高能物理 - 理论 · 物理学 2009-10-31 Hai-cang Ren