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The exact mass-gap of the supersymmetric O(N) sigma model
Physics Letters B, Volume: "B343", Issue: 1-4, Pages: 189 - 197
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1016/0370-2693(94)01477-T
Abstract
A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=2~{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is the mass of the fundamental vector particle in the theory. This result is obtained by...
| Published in: | Physics Letters B |
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| ISSN: | 03702693 |
| Published: |
1994
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28581 |
| Abstract: |
A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=2~{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is the mass of the fundamental vector particle in the theory. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of Shankar and Witten via the the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1-4 |
| Start Page: |
189 |
| End Page: |
197 |