The Multitrace Approach

Ydri, Badis

doi:10.1007/978-3-319-46003-1_5

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Jhep11(2015)1151

Results For Nc Scalar Field Theory1

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2016

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Cited by 2 publications

(2 citation statements)

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“…Further applications of this technique are found in [5], see also [6][7][8]. The rewriting of the kinetic term was done by applying techniques from group theory, making the calculations somewhat cumbersome.…”

Section: Jhep11(2015)115mentioning

confidence: 99%

The phase diagram of scalar field theory on the fuzzy disc

Rea¹,

Sämann²

2015

J. High Energ. Phys.

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Using a recently developed bootstrapping method, we compute the phase diagram of scalar field theory on the fuzzy disc with quartic even potential. We find three distinct phases with second and third order phase transitions between them. In particular, we find that the second order phase transition happens approximately at a fixed ratio of the two coupling constants defining the potential. We compute this ratio analytically in the limit of large coupling constants. Our results qualitatively agree with previously obtained numerical results.

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Section: Jhep11(2015)115mentioning

confidence: 99%

The phase diagram of scalar field theory on the fuzzy disc

Rea¹,

Sämann²

2015

J. High Energ. Phys.

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“…[52]), in a tridimensional version of the model [53,54], at finite temperature [55], in a multi-trace formulation [56,57], et c. 1 The results of these numerical simulations can be compared with several analytical studies, including refs. [5,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76].…”

Section: Results For Nc Scalar Field Theorymentioning

confidence: 99%

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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The Multitrace Approach

Cited by 2 publications

References 38 publications

The phase diagram of scalar field theory on the fuzzy disc

The phase diagram of scalar field theory on the fuzzy disc

The numerical approach to quantum field theory in a noncommutative space

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