Operator expansions in the minimal subtraction scheme. I. The gluing method
Journal Article
·
· Theor. Math. Phys.; (United States)
The aim of this paper is to give an exposition of the combinatorial part of the proof of the generalized operator expansion at short distances in the minimal subtraction scheme based on the use of the gluing method and the counterterm technique to the case of Lagrangians and currents without normal ordering. Our approach is not based directly on expression of the renormalization procedure in terms of the action of a subtracting operator. Instead of this, we use specific features of dimensional regularization and one of the most characteristic properties of the R operation - the equivalence of this operation to the introduction of local counterterms in the Lagrangian.
- OSTI ID:
- 5705820
- Journal Information:
- Theor. Math. Phys.; (United States), Vol. 75:1; Other Information: Translated from Teor. Mat. Fiz.; 75: No. 1, 26-40(Apr 1988)
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
RENORMALIZATION
QUANTUM OPERATORS
SERIES EXPANSION
BOUNDARY CONDITIONS
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
GREEN FUNCTION
LAGRANGIAN FUNCTION
PARTICLE MODELS
PROPAGATOR
RECURSION RELATIONS
S MATRIX
SPACE-TIME
WILSON LOOP
FIELD THEORIES
FUNCTIONS
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
RIEMANN SPACE
SPACE
645400* - High Energy Physics- Field Theory
QUANTUM FIELD THEORY
RENORMALIZATION
QUANTUM OPERATORS
SERIES EXPANSION
BOUNDARY CONDITIONS
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
GREEN FUNCTION
LAGRANGIAN FUNCTION
PARTICLE MODELS
PROPAGATOR
RECURSION RELATIONS
S MATRIX
SPACE-TIME
WILSON LOOP
FIELD THEORIES
FUNCTIONS
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
RIEMANN SPACE
SPACE
645400* - High Energy Physics- Field Theory