Mass independence of critical exponents in perturbation theory

Joel A. Shapiro, T. F. Wong

Research output: Contribution to journalArticlepeer-review

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The suggestion of Dash and Harrington that the critical exponent γ at the fixed point may be found in perturbation theory by its independence of the mass is investigated in the Reggeon calculus and in φ4 theory in three dimensions [(φ4)3]. We discuss an ambiguity due to the choice of energy scale and find an invariant criterion for determining the point of mass independence. Neither the Reggeon calculus nor (φ4)3 satisfies this criterion, and no natural choice of energy scale works for (φ4)3 in second order.

Original languageEnglish (US)
Pages (from-to)2390-2393
Number of pages4
JournalPhysical Review D
Issue number8
StatePublished - 1975

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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