Physics – Condensed Matter
Scientific paper
1995-05-25
Nucl.Phys. B455 (1995) 522-576
Physics
Condensed Matter
Plain TeX file, 52 pages, with 1 postscript figure
Scientific paper
10.1016/0550-3213(95)00476-9
The implications of restricted conformal invariance under conformal transformations preserving a plane boundary are discussed for general dimensions $d$. Calculations of the universal function of a conformal invariant $\xi$ which appears in the two point function of scalar operators in conformally invariant theories with a plane boundary are undertaken to first order in the $\vep=4-d$ expansion for the the operator $\phi^2$ in $\phi^4$ theory. The form for the associated functions of $\xi$ for the two point functions for the basic field $\phi^\alpha$ and the auxiliary field $\lambda$ in the the $N\to \infty$ limit of the $O(N)$ non linear sigma model for any $d$ in the range $2
McAvity David M.
Osborn Herbert
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