The numerical approach to quantum field theory in a noncommutative space

Panero, Marco

doi:10.22323/1.263.0099

“…3 This simplification is also at the base of the recent lattice measurements of C(x ⊥ ) and of the related jet-quenching parameterq [30][31][32] which also shows how both LO and NLO contributions are UV log-divergent. The former is cancelled by the hard region, whereas the latter is compensated by the semi-collinear region.…”

Section: Summary Of the Calculationmentioning

confidence: 94%

Next-to-leading order thermal photon production in a weakly-coupled plasma

Ghiglieri

¹

2014

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We summarize the recent determination to next-to-leading order of the thermal photon rate at weak coupling. We emphasize how it can be expressed in terms of gauge-invariant condensates on the light cone, which are amenable to novel sum rules and Euclidean techniques. For the phenomenologically interesting value of α s = 0.3, the NLO correction represents a 20% increase and has a functional form similar to the LO result.

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“…This phenomenon has been observed numerically in large body of work: for the fuzzy sphere [33,34,35], fuzzy disc [36], fuzzy sphere with a commutative time [37] and fuzzy torus [38]. See [39] for a review of this topic. Analytical approaches to the problem [40,41,42,43,44,45,46,47,20,21,48] have been centered around the matrix models description of the fuzzy field theory we will describe in the section 4.…”

Section: Phase Structure On the Fuzzy Spherementioning

confidence: 85%

Fuzzy field theories and related matrix models

Šubjaková¹,

Tekel²

2020

Preprint

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We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important results for the scalar fields on such spaces. We then introduce the multi-trace matrix models relevant for the analytical description of scalar field theories on fuzzy spaces and show to what extent they do, and to what extent they do not, describe the know phase structure of φ 4 theory on the fuzzy sphere.

show abstract

“…This phenomenon has been observed numerically in large body of work: for the fuzzy sphere [33,34,35], fuzzy disc [36], fuzzy sphere with a commutative time [37] and fuzzy torus [38]. See [39] for a review of this topic. Analytical approaches to the problem [40,41,42,43,44,45,46,47,20,21,48] have been centered around the matrix models description of the fuzzy field theory we will describe in the section 4.…”

Section: Phase Structure On the Fuzzy Spherementioning

confidence: 85%

Fuzzy field theories and related matrix models

Tekel¹,

Šubjaková²

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

0

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We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important results for the scalar fields on such spaces. We then introduce the multi-trace matrix models relevant for the analytical description of scalar field theories on fuzzy spaces and show to what extent they do, and to what extent they do not, describe the know phase structure of φ 4 theory on the fuzzy sphere.

show abstract

The numerical approach to quantum field theory in a noncommutative space

Cited by 7 publications

References 130 publications

Next-to-leading order thermal photon production in a weakly-coupled plasma

Next-to-leading order thermal photon production in a weakly-coupled plasma

Fuzzy field theories and related matrix models

Fuzzy field theories and related matrix models

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