Two-loop Correction to the Instanton Density for the Double Well Potential

Abstract

Feynman diagrams in the instanton background are used for the calculation of the tunneling amplitude, up to the two-loops order. Some mistakes made in the previous works are corrected. The same method is applied to the next-order corrections to the ground state wave function.

References in corpus (3)

• Mesonic Correlation Functions in the Random Instanton Vacuum
• Lattice Calculation of Point-to-Point Hadron Current Correlation
• Quark Propagation in the Random Instanton Vacuum

Cited by in corpus (14)

• Instantons in QCD
• Generating Non-perturbative Physics from Perturbation Theory
• Yang-Mills- and D-instantons
• Path integration over closed loops and Gutzwiller's trace formula
• Three-loop Correction to the Instanton Density. I. The Quartic Double Well Potential
• Double Well Potential: Perturbation Theory, Tunneling, WKB (beyond instantons)
• Instanton -- Antiinstanton interaction and asymptotics of perturbation theory expansion in double well oscillator
• Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory
• The Interface Tension of the Three-dimensional Ising Model in Two-loop Order
• Bose-Einstein Condensation of strongly interacting bosons: from liquid ${}^4$He to QCD monopoles
• A New Method to Derive Low-Lying N-dimensional Quantum Wave Functions by Quadratures Along a Single Trajectory
• Trans-series for the ground state density and Generalized Bloch equation
• New instantons in the double-well potential
• When Is A Semiclassical Approximation Self-consistent?