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Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons

Caporaso, N and Pasquetti, S (2006) Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons

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We study d=2+1 non-commutative U(1) YMCS, concentrating on the one-loop corrections to the propagator and to the dispersion relations. Unlike its commutative counterpart, this model presents divergences and hence an IR/UV mechanism, which we regularize by adding a Majorana gaugino of mass m_f, that provides (softly broken) supersymmetry. The perturbative vacuum becomes stable for a wide range of coupling and mass values, and tachyonic modes are generated only in two regions of the parameters space. One such region corresponds to removing the supersymmetric regulator (m_f >> m_g), restoring the well-known IR/UV mixing phenomenon. The other one (for m_f ~ m_g/2 and large \theta) is novel and peculiar of this model. The two tachyonic regions turn out to be very different in nature. We conclude with some remarks on the theory's off-shell unitarity.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Caporaso, N
Date : 25 September 2006
Uncontrolled Keywords : hep-th, hep-th, hep-ph
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:30
Last Modified : 24 Jan 2020 22:23

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