Exact m{sub quark} {ne} 0 condensates in QCD{sub 1+1}(N{sub C} {yields} {infinity})
In the limit of an infinite number of colors, we derive an analytic expression for the quark condensation in QCD{sub 1+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 {l_angle}0{vert_bar}{bar {psi}{psi}}{vert_bar}0{r_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 m{sub q}{yields}0 {approximately} {minus}N{sub C}{radical}G{sup 2} can only be obtained by summing the perturbation series to infinite order.
- Research Organization:
- Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG06-90ER40561
- OSTI ID:
- 10181238
- Report Number(s):
- DOE/ER/40561-156; CONF-9406248-1; ON: DE94018581; IN: INT94-00-65; BR: 35KB01000/KB0300000; TRN: 94:018932
- Resource Relation:
- Conference: Workshop on quantum infrared physics,Paris (France),Jun 1994; Other Information: PBD: [1994]
- Country of Publication:
- United States
- Language:
- English
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