Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)

Martı́n, C.P.; Ruiz, F. Ruiz

doi:10.1016/s0550-3213(00)00726-4

Cited by 47 publications

(47 citation statements)

References 31 publications

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“…3, taken from ref. [104], in which the photon dispersion relation obtained from numerical simulations of NC QED is displayed: the deviations from linear behavior (which are compatible with expectations derived analytically [109,110,111]) encode an interesting New Physics signature, which, as discussed in refs. [112,113], could be potentially observable in ultra-highenergy cosmic rays.…”

Section: Results For Nc Gauge Theoriessupporting

confidence: 80%

The numerical approach to quantum field theory in a noncommutative space

Panero¹

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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Numerical simulation is an important non-perturbative tool to study quantum field theories defined in non-commutative spaces. In this contribution, a selection of results from Monte Carlo calculations for non-commutative models is presented, and their implications are reviewed. In addition, we also discuss how related numerical techniques have been recently applied in computer simulations of dimensionally reduced supersymmetric theories.

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Section: Results For Nc Gauge Theoriessupporting

confidence: 80%

The numerical approach to quantum field theory in a noncommutative space

Panero¹

2016

Proceedings of Proceedings of the Corfu Summer Institute 2015 — PoS(CORFU2015)

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“…We find that in the fuzzy sphere phase we can fit the data to p a = α 2 c 2 3 which is consistent with the number 1 N T rL 2 1 = 1 N T rL 2 2 = 1 N T rL 2 3 = c 2 3 . Let us now introduce the following 3 scalar fields ((a, b, c) = (1,2,3), (3,1,2), (2,3,1) )…”

Section: Jhep11(2006)016mentioning

confidence: 99%

Monte Carlo simulation of a NC gauge theory on the fuzzy sphere

O’Connor¹,

Ydri²

2006

J. High Energy Phys.

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We find using Monte Carlo simulation the phase structure of noncommutative U (1) gauge theory in two dimensions with the fuzzy sphere S 2 N as a non-perturbative regulator. There are three phases of the model. i) A matrix phase where the theory is essentially SU (N ) Yang-Mills reduced to zero dimension . ii) A weak coupling fuzzy sphere phase with constant specific heat and iii) A strong coupling fuzzy sphere phase with non-constant specific heat. The order parameter distinguishing the matrix phase from the sphere phase is the radius of the fuzzy sphere. The three phases meet at a triple point. We also give the theoretical one-loop and 1 N expansion predictions for the transition lines which are in good agreement with the numerical data. A Monte Carlo measurement of the triple point is also given.

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“…Performing explicit loop calculations, for θ 0i = 0 cases (noncommutative space), it has been shown that noncommutative φ 4 theory up to two loops [3,5] and NCQED up to one loop [6,4,7], are renormalizable. For noncommutative space-time (θ 0i = 0) it has been shown that the theory is not unitary and hence, as a field theory, it is not appealing [8].…”

Section: Introductionmentioning

confidence: 99%