Anomaly and quantum corrections to solitons in two-dimensional theories with minimal supersymmetry

Journal Article · Mon Feb 01 04:00:00 EST 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.045016· OSTI ID:307283

Shifman, M; Vainshtein, A ^[1]; Voloshin, M ^[1]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We reexamine the issue of the soliton mass in two-dimensional models with N=1 supersymmetry. The superalgebra has a central extension, and at the classical level the soliton solution preserves 1/2 of supersymmetry which is equivalent to BPS saturation. We prove that the property of BPS saturation, i.e. the equality of the soliton mass to the central charge, remains intact at the quantum level in all orders of the weak coupling expansion. Our key finding is an anomaly in the expression for the central charge. The classical central charge, equal to the jump of the superpotential, is amended by an anomalous term proportional to the second derivative of the superpotential. The anomaly is established by various methods in explicit one-loop calculations. We argue that this one-loop result is not affected by higher orders. We discuss in detail how the impact of the boundary conditions can be untangled from the soliton mass calculation. In particular, the soliton profile and the energy distribution are found at one loop. A {open_quotes}supersymmetry{close_quotes} in the soliton mass calculations in the non-supersymmetric models is observed. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 307283
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 59; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
LAGRANGIAN FIELD THEORY
MASS
QUANTUM FIELD THEORY
SOLITONS
SUPERSYMMETRY