Path integral quantization of scalar fluctuations above a kink
arXiv:0704.3563 · doi:10.1088/1751-8113/41/1/015401
Abstract
We quantize scalar fluctuations in 1+1 dimensions above a classical background kink. The properties of the effective action for the corresponding classical field are studied with an exact functional method, alternative to exact Wilsonian renormalization, where the running parameter is a bare mass, and the regulator of the quantum theory is fixed. We extend this approach, in an appendix, to a Yukawa interaction in higher dimension.
Comments added
References in corpus (17)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- A Method for Simulating Chiral Fermions on the Lattice
- A gauge invariant exact renormalization group I
- Perturbation theory and renormalisation group equations
- Functional Callan-Symanzik equation
- One-loop correction to classical masses of quantum kink families
- Functional Callan-Symanzik equation for QED
- Soliton quantization and internal symmetry
- Topography of the hot sphaleron Transitions
- The canonical quantization of the kink -- model beyond the static solution
- Kink scaling functions in 2D non--integrable quantum field theories
- Renormalization group in the internal space
- Level Crossing for Hot Sphalerons
- Non-Perturbative Formulation of Time-Dependent String Solutions
- Quantum kink model and SU(2) symmetry: Spin interpretation and T-violation
- Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions
- Control of quantum fluctuations for a Yukawa interaction in the Kaluza Klein picture