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Nuclear Physics B139 (1978) 159-169 0 North-Holland Publishing Company
 

Summary: Nuclear Physics B139 (1978) 159-169
0 North-Holland Publishing Company
CALCULATING QUANTUM CORRECTIONS TO THE MASS OF A
SOLITON WITHOUT COLLECTIVE COORDINATES *
L.F. ABBOTT l *
Department of Physics, Brandeis Univertity, Waltham, Massachusetts 02154, USA
Received 14 November 1977
(Revised 13 March 1978)
Feynman rules are derived for computing quantum corrections to the mass of a
soliton in quantum field theory. These rules exhibit a finite propagator, but in contrast
to previous methods, no additional effective vertices are introduced beyond those pre-
sent in the original shifted Lagrangian. The derivation is based on imposing end-point
boundary conditions appropriate to a soliton state on the functional integral represent-
ing the soliton-to-soliton transition amplitude.
1. Introduction
During the past few years, a great deal of attention has been given to the problem
of constructing a perturbation expansion around a non-dissipative, finite-energy solu-
tion to the classical field equations of a quantum field theory [l-9] l**. Classical
"lump-like" solutions are interpreted as representing particles called solitons. To
investigate the quantum corrections to various physical processes one must derive

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine