A new c theorem in four-dimensions

Shore, G.M.

doi:10.1016/0370-2693(91)91736-F

A new c theorem in four-dimensions

G.M. Shore
(
- CERN
)

Oct, 1990

11 pages

Published in:

Phys.Lett.B 253 (1991) 380-390

Published: 1991

DOI:

10.1016/0370-2693(91)91736-F

Report number:

CERN-TH-5886-90

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Abstract: (Elsevier)

Spectral function methods are used to derive an n -dimensional formula describing the renormalisation group flow of a scalar function C ( g ) defined in terms of energy-momentum tensor Green functions. For n = 2 the formula reduces to the Zamolodchikov theorem, while for n = 4 it gives a new C -theorem whose physical interpretation, howevers, differs radically. The two- and four-dimensional C -theorems are investigated using renormalisation group ideas, and their relationship with the Osborn-Jack consistency conditions is discussed. It is speculated that this is the first of a family of similar C -theorems in four dimensions.

field theory: conformal
dimension: 2
tensor: energy-momentum
two-point function: spectral representation
spectral representation: two-point function
renormalization group: c-function
dimension: 4

References(19)

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