On the relation between non-commutative field theories at = and largeNmatrix field theories | Zendy

Wolfgang Bietenholz | Zendy; Frank Hofheinz | Zendy; Jun Nishimura | Zendy

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On the relation between non-commutative field theories at = and largeNmatrix field theories

Author(s) -

Wolfgang Bietenholz,

Frank Hofheinz,

Jun Nishimura

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/05/047

Subject(s) - scalar field , s matrix , scalar field theory , theoretical physics , physics , field theory (psychology) , field (mathematics) , quantum field theory , mathematical physics , mathematics , quantum mechanics , pure mathematics , quantum gravity , scattering , quantum

It is well-known that non-commutative (NC) field theories at theta = infinityare ``equivalent'' to large N matrix field theories to all orders inperturbation theory, due to the dominance of planar diagrams. By formulating aNC field theory on the lattice non-perturbatively and mapping it onto a twistedreduced model, we point out that the above equivalence does not hold if thetranslational symmetry of the NC field theory is broken spontaneously. As anexample we discuss NC scalar field theory, where such a spontaneous symmetrybreakdown has been confirmed by Monte Carlo simulations.Comment: 12 pages, LaTe

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