# Perturbation theory with instantons. [Gluon propagator, proper vertex function] [electronic resource].

- Published:
- Argonne, Ill. : Argonne National Laboratory, 1977.

Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description:
- Pages: 25 : digital, PDF file
- Additional Creators:
- Argonne National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information

##### Access Online

- Restrictions on Access:
- Free-to-read Unrestricted online access
- Summary:
- ''Perturbation theory'' rules are developed for calculating the effect of instantons in a pure Yang-Mills theory with no fermions, in the ''dilute gas'' approximation in which the N-instanton solution is assumed to be the sum of N widely separated one-instanton solutions. These rules are then used to compute the gluon propagator and proper vertex function including all orders of the instanton interaction but only to lowest order in the gluon coupling. It is to be expected that such an approximation is valid only for momenta q larger than the physical mass ..mu... The result is that in this regime instantons cause variations in the propagator and vertex of the form (..mu../sup 2//q/sup 2/)/sup -8..pi../sup 2/b/ where b is the coefficient in the expansion of the ..beta.. function: ..beta.. = bg/sup 3/+... .
- Report Numbers:
- E 1.99:coo-1545-213

E 1.99: calt-68-598

calt-68-598

coo-1545-213 - Subject(s):
- Other Subject(s):
- Note:
- Published through SciTech Connect.

05/01/1977.

"coo-1545-213"

" calt-68-598"

Pinsky, S.S.; Zachariasen, F.; Carruthers, P. - Funding Information:
- EY-76-C-02-1545

EY-76-C-03-0068

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