Renormalization of Functional Schroedinger Equation by Background Field Method

Abstract

Renormalization group transformations for Schrödinger equation are performed in ${\varphi }^4$ and in Yang-Mills theories. The dependence of the ground state wave functional on rapidly oscillating fields is found. For Yang-Mills theory, this dependence restricts a possible form of variational ansatz compatible with asymptotic freedom.

9pp., Latex

References in corpus (1)

• Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model

Cited by in corpus (6)

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• Anti-Screening by Quarks and the Structure of the Inter-Quark Potential
• On the spectrum of pure Yang-Mills theory
• Optimized Rayleigh-Schrödinger Expansion of the Effective Potential
• Renormalization of Schrödinger Equation and Wave Functional for Rapidly Oscillating Fields in QCD
• The Yang-Mills Vacuum Wave Functional in 2+1 Dimensions