Published 1994 | Version v1
Report Open

Exact mquark ≠ 0 condensates in QCD1+1(NC → ∞)

Description

In the limit of an infinite number of colors, we derive an analytic expression for the quark condensation in QCD1+1 as a function of the quark mass and the gauge coupling constant. For zero quark mass, a nonvanishing quark condensate is obtained. Nevertheless, we prove that there is no phase transition as a function of the quark mass. It is furthermore shown that the expansion of left-angle 0|bar ψψ|0 right-angle in the gauge coupling has zero radius of convergence but that the perturbation series is Borel summable with finite radius of convergence. The nonanalytic behavior mq→0 ∼ -NC√G2 can only be obtained by summing the perturbation series to infinite order

Availability note (English)

MF available from INIS under the Report Number; Also available from OSTI as DE94018581; NTIS; US Govt. Printing Office Dep.

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Additional details

Publishing Information

Imprint Pagination
6 p.
Report number
DOE/ER/40561--156

Conference

Title
Workshop on quantum infrared physics.
Dates
Jun 1994.
Place
Paris (France).

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
26018034
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
GREEN FUNCTION; QUANTUM CHROMODYNAMICS; QUARK CONDENSATION; QUARKS; REST MASS; SUM RULES; WAVE FUNCTIONS
Descriptors DEC
ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD THEORIES; FUNCTIONS; MASS; POSTULATED PARTICLES; QUANTUM FIELD THEORY

Optional Information

Contract/Grant/Project number
Contract FG06-90ER40561
Funding organization
USDOE, Washington, DC (United States).
Secondary number(s)
CONF-9406248--1.