Massive Yang-Mills model and diffractive scattering

Forshaw, JR, Papavassiliou, J and Parrinello, C (1999) Massive Yang-Mills model and diffractive scattering Physical Review D, 59 (7). 074008-. ISSN 2470-0010, 1089-4918

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Abstract

We argue that the massive Yang-Mills model of Kunimasa and Goto, Slavnov, and Cornwall, in which massive gauge vector bosons are introduced in a gauge-invariant way without resorting to the Higgs mechanism, may be useful for studying diffractive scattering of strongly interacting particles. With this motivation, we perform in this model explicit calculations of S-matrix elements between quark states, at the tree level, one loop, and two loops, and discuss issues of renormalizability and unitarity. In particular, it is shown that the S-matrix element for quark scattering is renormalizable at one-loop order, and is only logarithmically non-renormalizable at two loops. The discrepancies in the ultraviolet regime between the one-loop predictions of this model and those of massless QCD are discussed in detail. In addition, some of the similarities and differences between the massive Yang-Mills model and theories with a Higgs mechanism are analyzed at the level of the S matrix. Finally, we briefly discuss the high-energy behavior of the leading order amplitude for quark-quark elastic scattering in the diffractive region. The above analysis sets up the stage for carrying out a systematic computation of the higher order corrections to the two-gluon exchange model of the Pomeron using massive gluons inside quantum loops.

Item Type:	Article
Additional Information:	LTH: 431. Additional citation information: PHYSICAL REVIEW D, VOLUME 59, 074008; 0556-2821/99/59(7)/074008(18). 18 pages. Published 26 February 1999. Issue: April 1999.
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Subjects:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	17 Apr 2009 09:03
Last Modified:	22 May 2026 23:18
DOI:	10.1103/physrevd.59.074008
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/636
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