New soliton models ('confining kinks') have purely discrete perturbation spectra; their one-loop mass shifts, computed via zeta-function regularization, are finite and negative without vacuum subtractions.
On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper we construct a one-parametric family of (1+1)-dimensional one-component scalar field theory models supporting kinks. Inspired by the sine-Gordon and $\phi^4$ models, we look at all possible extensions such that the kink second-order fluctuation operators are Schr\"odinger differential operators with P\"oschl-Teller potential wells. In this situation, the associated spectral problem is solvable and therefore we shall succeed in analyzing the kink stability completely and in computing the one-loop quantum correction to the kink mass exactly. When the parameter is a natural number, the family becomes the hierarchy for which the potential wells are reflectionless, the two first levels of the hierarchy being the sine-Gordon and $\phi^4$ models.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Confining kinks. $\zeta$-regularized one-loop kink mass shifts in exotic field theories
New soliton models ('confining kinks') have purely discrete perturbation spectra; their one-loop mass shifts, computed via zeta-function regularization, are finite and negative without vacuum subtractions.