The n-loop expansion of the Reggeon calculus |
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Authors: | JW Dash SJ Harrington |
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Institution: | Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403, USA;Department of Physics, University of Washington, Seattle, Wash. 98195, USA |
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Abstract: | We apply the technique known in solid state physics as the n-loop expansion to calculate the critical indices of the φ3 Gribov Reggeon calculus directly in two transverse dimensions. Infrared pathologies of the massless theory require the calculation to be done in the infinite momentum limit of the massive theory. For n = 1 the results are close to those of the ε-expansion in O(ε). For n = 2 the β function has no zero, analogously to the case in solid state physics. Use of a Padé approximant for β yields σtot ≈ (1n s)0.27 at infinity, close to the O(ε2) result. |
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