On quantum corrections to dislocations mass

TL;DR

This paper investigates quantum corrections to dislocation mass in crystals using quasi-classical quantization and functional integrals, applying the generalized zeta-function to evaluate corrections for classical solutions in dislocation models.

Contribution

It introduces a method to compute quantum corrections to dislocation mass using functional integrals and the generalized zeta-function, extending to multi-dimensional models.

Findings

Quantum corrections to dislocation mass are calculated for specific models.

The approach applies to one-dimensional sine-Gordon solutions with additional dimensions.

Results provide insights into quantum effects in crystal dislocation dynamics.

Abstract

Quasi-classical quantization of crystal dislocations field is considered in terms of functional integral. The generalized zeta-function is used to evaluate the functional integral and quantum corrections to mass in quasi-classical approximation. The quantum corrections to few classical solutions of one-dimensional Sin-Gordon model are evaluated with account of rest $n-1$ dimensions. The results are applied to appropriate crystal dislocation models.