Note on Massless Bosonic States in Two-Dimensional Field Theories

Note on Massless Bosonic States in Two-Dimensional Field Theories

In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole whi...

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Veröffentlicht in:Progress of theoretical and experimental physics 2006-12, Vol.116 (6), p.1117-1129
Hauptverfasser: Fukaya, Hidenori, Hayakawa, Masashi, Kanamori, Issaku, Suzuki, Hiroshi, Takimi, Tomohisa
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container_issue 6
container_start_page 1117
container_title Progress of theoretical and experimental physics
container_volume 116
creator Fukaya, Hidenori
Hayakawa, Masashi
Kanamori, Issaku
Suzuki, Hiroshi
Takimi, Tomohisa
description In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional supersymmetric gauge theory without a superpotential possesses U(1) L × U(1) R symmetry and contains one massless bosonic state per fixed spatial momentum. The supersymmetric pure Yang-Mills theory possesses SU(2) L × SU(2) R symmetry, and there exist at least three massless bosonic states.
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subjects Exact sciences and technology
Physics
title Note on Massless Bosonic States in Two-Dimensional Field Theories
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