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Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces

Torrielli, A, Bietenholz, W, Bigarini, A, Nishimura, J, Susaki, Y and Volkholz, J (2007) Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces In: 25th International Symposium on Lattice Field Theory (Lattice 2007), 2007-07-30 - ?, Regensburg, Germany.

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Abstract

We present numerical results for U(1) gauge theory in 2d and 4d spaces involving a non-commutative plane. Simulations are feasible thanks to a mapping of the non-commutative plane onto a twisted matrix model. In d=2 it was a long-standing issue if Wilson loops are (partially) invariant under area-preserving diffeomorphisms. We show that non-perturbatively this invariance breaks, including the subgroup SL(2,R). In both cases, d=2 and d=4, we extrapolate our results to the continuum and infinite volume by means of a Double Scaling Limit. In d=4 this limit leads to a phase with broken translation symmetry, which is not affected by the perturbatively known IR instability. Therefore the photon may survive in a non-commutative world.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Authors :
NameEmailORCID
Torrielli, Aa.torrielli@surrey.ac.ukUNSPECIFIED
Bietenholz, WUNSPECIFIEDUNSPECIFIED
Bigarini, AUNSPECIFIEDUNSPECIFIED
Nishimura, JUNSPECIFIEDUNSPECIFIED
Susaki, YUNSPECIFIEDUNSPECIFIED
Volkholz, JUNSPECIFIEDUNSPECIFIED
Date : 2007
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:17
Last Modified : 17 May 2017 15:02
URI: http://epubs.surrey.ac.uk/id/eprint/834747

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