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Non-commutative principal chiral models

Stefano Profumo
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Abstract

Twisted Eguchi-Kawai reduced chiral models are shown to be formally equivalent to a U(1) non-commutative parent theory. The non-commutative theory describes the vacuum dynamics of the non-commutative charged tachyonic field of a brane system. To make contact with the continuum non-commutative theory, a double scaling large N limit for the reduced model is required. We show a possible limiting procedure, which we propose to investigate numerically. Our numerical results show substantial consistency with the outlined procedure

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Stefano Profumo. 2002-10-16. Non-commutative principal chiral models. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F035

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