Research output: Chapter in Book/Report/Conference proceeding › Chapter

**Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces.** / Bietenholz, Wolfgang; Bigarini, Antonio; Nishimura, Jun; Susaki, Yoshiaki; Torrielli, Alessandro; Volkholz, Jan.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Bietenholz, W, Bigarini, A, Nishimura, J, Susaki, Y, Torrielli, A & Volkholz, J 2007, Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces. in *PoS LATTICE 2007.*

Bietenholz, W., Bigarini, A., Nishimura, J., Susaki, Y., Torrielli, A., & Volkholz, J. (2007). Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces. In *PoS LATTICE 2007 *

Bietenholz W, Bigarini A, Nishimura J, Susaki Y, Torrielli A, Volkholz J. Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces. In PoS LATTICE 2007. 2007

@inbook{59b626ecd4ef4c88beabc2b1647f6819,

title = "Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces",

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.",

keywords = "hep-lat, astro-ph, hep-th",

author = "Wolfgang Bietenholz and Antonio Bigarini and Jun Nishimura and Yoshiaki Susaki and Alessandro Torrielli and Jan Volkholz",

note = "7 pages, 6 figures, talk presented by W.B. at LATTICE07",

year = "2007",

month = "8",

day = "14",

language = "English",

booktitle = "PoS LATTICE 2007",

}

TY - CHAP

T1 - Simulation Results for U(1) Gauge Theory on Non-Commutative Spaces

AU - Bietenholz, Wolfgang

AU - Bigarini, Antonio

AU - Nishimura, Jun

AU - Susaki, Yoshiaki

AU - Torrielli, Alessandro

AU - Volkholz, Jan

N1 - 7 pages, 6 figures, talk presented by W.B. at LATTICE07

PY - 2007/8/14

Y1 - 2007/8/14

N2 - 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.

AB - 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.

KW - hep-lat

KW - astro-ph

KW - hep-th

M3 - Chapter

BT - PoS LATTICE 2007

ER -