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Related papers: On the Chiral Quark Soliton Model with Pauli-Villa…

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We calculate the isosinglet unpolarized quark-- and antiquark distributions at a low normalization point in the large--$N_c$ limit. The nucleon is described as a self-consistent soliton solution of the effective chiral theory. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Weiss , K. Goeke

In this talk I review studies of hadron structure functions in bosonized chiral quark models. Such models require regularization and I show that the two--fold Pauli--Villars regularization scheme not only fully regularizes the effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Weigel

We investigate regularization of scalar one-loop integrals in the Pauli- Villars subtraction scheme. The results depend on the number of sub- tractions, in particular the finite terms that survive after the diver- gences have been absorbed…

High Energy Physics - Phenomenology · Physics 2015-06-19 Ronald H. P. Kleiss , Tim W. Janssen

In the framework of the chiral quark-soliton model of the nucleon we investigate the properties of the polarized quark distribution. In particular we analyse the so called anomalous difference between the representations of the quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Goeke , P. V. Pobylitsa , M. V. Polyakov , P. Schweitzer , D. Urbano

The need to regularize loop integrals in a manner that preserves gauge invariance, for example, using the Pauli-Villars method, requires a subtraction that in the large mass limit hides its high momentum origin. This gives rise to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. N. Achasov , A. V. Kiselev

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…

High Energy Physics - Theory · Physics 2009-10-30 Kiyoshi Okuyama , Hiroshi Suzuki

In this talk I review studies of hadron properties in bosonized chiral quark models for the quark flavor dynamics. Mesons are constructed from Bethe--Salpeter equations and baryons emerge as chiral solitons. Such models require…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Weigel

Pauli-Villars regularization is successfully applied to nonperturbative calculations in a (3+1)-dimensional light-cone model. Numerical results obtained with discretized light-cone quantization compare favorably with the analytic solution.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller

We present a consistent regularization procedure for calculating hadron structure functions in a bosonized chiral quark model. We find that the Pauli-Villars regularization scheme is most suitable. We also summarize the phenomenology of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Leonard Gamberg , Herbert Weigel

We provide a consistent regularization procedure for calculating hadron structure functions in a chiral quark model. The structure functions are extracted from the absorptive part of the forward Compton amplitude in the Bjorken limit. Since…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , E. Ruiz Arriola , L. Gamberg

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

At large N_c the nucleon can be viewed as a soliton of the effective chiral lagrangian. This picture of nucleons allows a consistent nonperturbative calculation of the leading-twist parton distributions at a low normalization point. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Diakonov , V. Petrov , P. Pobylitsa , M. Polyakov , C. Weiss

A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard

We show how the recently proposed Taylor-Lagrange renormalization scheme can lead to extensions of singular distributions which are reminiscent of the Pauli-Villars subtraction. However, at variance with the Pauli-Villars regularization…

High Energy Physics - Theory · Physics 2014-11-21 P. Grangé , J. -F. Mathiot , B. Mutet , E. Werner

We outline a consistent regularization procedure to compute hadron structure functions within bosonized chiral quark models. We impose the Pauli--Villars scheme, which reproduces the chiral anomaly, to regularize the bosonized action. We…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , L. Gamberg

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…

High Energy Physics - Theory · Physics 2007-05-23 L. R. Baboukhadia , A. A. Khelashvili , N. A. Kiknadze

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…

High Energy Physics - Theory · Physics 2009-11-10 Yue-Liang Wu

The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar $\lambda\varphi^4$ field theory and Yukawa-type model are used. We give also an example of…

High Energy Physics - Theory · Physics 2016-09-26 M. Yu. Malyshev , S. A. Paston , E. V. Prokhvatilov , R. A. Zubov , V. A. Franke

We describe the formation of solitons in NJL-type models and discuss the influence of the regularization scheme on the stability of the solution. We concentrate on models with non-local regulators in which stable solutions exist without…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Golli , W. Broniowski , G. Ripka

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…

High Energy Physics - Lattice · Physics 2007-05-23 Kazuo Fujikawa
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