On dangerous irrelevant operators: Daniel J. Amit, Racah Institute of Physics, Hebrew University, Jerusalem, Israel; and Luca Peliti, Istituto di Fisica “G. Marconi”, Rome, Italy, and GNSM-CNR, Unita di Roma

Crossover behavior of the nonlinear σ-mo

Crossover behavior of the nonlinear σ-model with quadratically broken symmetry: Daniel J. Amit and Yadin Y. Goldschmidt, Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel and Luca Peliti, Istituto di Fisica and G.N.S.M.-CNR, Unita di Roma, Rome, Italy

📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 73 KB

In a paper published by Langer in 1949 it was shown that the eigenvalues X of a rotating harmonic oscillator, containing a parameter oi < 1, are given by the formula X = v + O(a In cc), where v is an integer. In the present paper it is shown that Langer's estimate is too rough; the correct formula i