Conformal properties of the superstring-ghost Thirring model: Short-distance structure and bosonization

D. Z. Freedman, E. Gath, K. Pilch

Research output: Contribution to journalArticlepeer-review

Abstract

It is known that the free theory of superstring-ghost fields can be extended by adding the superconformal-invariant quartic interaction QJJ» where J=bc+ is the total ghost number current. We use functional techniques to compute correlation functions of the elementary fields and currents of the theory to all orders in the coupling constant Q, and we use these to obtain the important operator products. The model is then shown to bosonize in terms of the same fields used for the free system, and we obtain bosonization formulas such as c(z,z»=:exp[a1cphi1(z) +a2cphi2(z)+b1cphi»1/B (z»)+b2cphi»2(z»)]:, where ai and bi are algebraic functions of Q, such that a2, b1, and b2 vanish in the free limit. The model thus exhibits the nonholomorphic behavior characteristic of the Thirring model as well as novel mixing of the scalar fields cphi1 and cphi2. It does not seem possible to construct an operator in the interacting theory with the properties of the Becchi-Rouet-Stora-Tyutin current.

Original languageEnglish
Pages (from-to)3703-3712
Number of pages10
JournalPhysical Review D
Volume39
Issue number12
DOIs
Publication statusPublished - 1989
Externally publishedYes

Fingerprint

Dive into the research topics of 'Conformal properties of the superstring-ghost Thirring model: Short-distance structure and bosonization'. Together they form a unique fingerprint.

Cite this