HEAT-KERNEL CALCULATION OF QUARK DETERMINANT AND COMPUTER ALGEBRA-Reference-Cited by-同舟云学术

HEAT-KERNEL CALCULATION OF QUARK DETERMINANT AND COMPUTER ALGEBRA

Published:1993-08 Issue:04 Volume:04 Page:775-786
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

BEL'KOV A. A.¹,EBERT D.²,LANYOV A. V.¹,SCHAALE A.³

Affiliation:

1. Particle Physics Laboratory, Joint Institute for Nuclear Research, Head Post Office, P.O. Box 79, 101000 Moscow, Russia

2. Institut für Elementarteilchenphysik, Humboldt-Universität, Invalidenstraβe 110, O-1040 Berlin, Germany

3. DESY-Zeuthen Platanenallee 6, O-1615 Zeuthen, Germany

Abstract

In this paper we describe the calculational background of deriving a strong meson Lagrangian from the Nambu–Jona-Lasinio quark model using the computer algebra systems FORM and REDUCE in recursive algorithms, based on the heat-kernel method for the calculation of the quark determinant.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183193000641

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Transport equation approach to calculations of Hadamard Green functions and non-coincident DeWitt coefficients;Physical Review D;2011-11-23

2. Massive field contributions to the QCD vacuum tunneling amplitude;Physical Review D;2000-11

3. A new approach to axial vector model calculations;Physics Letters B;1998-11

4. Index-free heat kernel coefficients;Classical and Quantum Gravity;1998-08-01

5. The Higher Derivative Expansion of the Effective Action by the String Inspired Method, II;Annals of Physics;1998-03