SUBTLETIES IN QCD THEORY IN 2 DIMENSIONS

被引：12

作者：

FRISHMAN, Y ^{[1
]}

HANANY, A ^{[1
]}

SONNENSCHEIN, J ^{[1
]}

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH PHYS & ASTRON,IL-69978 TEL AVIV,ISRAEL

来源：

NUCLEAR PHYSICS B | 1994年 / 429卷 / 01期

关键词：

D O I：

10.1016/S0550-3213(94)80042-1

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It is shown that in a formulation of Yang-Mills theory in two dimensions in terms of A = if(-1)partial derivative f, (A) over bar = if partial derivative (f) over bar(-1) with f(z, (z) over bar>, (f) over bar(z, (z) over bar) is an element of [SU(N-C)](c) the complexification of SU(N-C), reveals certain subtleties. ''Physical'' massive color singlet states seem to exist. When coupled to N-F quarks the coupling constant is renormalized in such a way that it vanishes for the pure Yang-Mills case. This renders the above states massless and unphysical. In the abelian case, on the other hand, the known results of the Schwinger model are reproduced with no need of such a renormalization. The massless QCD(2) theory is analyzed in similar terms and peculiar massive states appear, with a mass of e(c) root N-F/2 pi.

引用

页码：75 / 89

页数：15

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