Thermal correlation functions of twisted quantum fields

Basu, Prasad; Srivastava, Rahul; Vaidya, Sachindeo

doi:10.1103/physrevd.82.025005

Cited by 10 publications

(16 citation statements)

References 15 publications

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“…By the way, equation (3.6) is the application to the Moyal case [24] of general formulas [23,24] valid for generic twist-induced deformations. The fact that twisted/deformed (anti)commutation relations do not give rise to any deformation in Fermi-Dirac or Bose-Einstein statistics has also been demonstrated very clearly in [8,16].…”

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confidence: 92%

Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space

Miao

Wang²

2014

SIGMA

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Abstract. Based on the Bogoliubov non-ideal gas model, we discuss the energy spectrum and phase transition of the superfluid Fermi gas of atoms with a weak attractive interaction on the canonical noncommutative space. Because the interaction of a BCS-type superfluid Fermi gas originates from a pair of Fermionic quasi-particles with opposite momenta and spins, the Hamiltonian of the Fermi gas on the noncommutative space can be described in terms of the ordinary creation and annihilation operators related to the commutative space, while the noncommutative effect appears only in the coefficients of the interacting Hamiltonian. As a result, we can rigorously solve the energy spectrum of the Fermi gas on the noncommutative space exactly following the way adopted on the commutative space without the use of perturbation theory. In particular, different from the previous results on the noncommutative degenerate electron gas and superconductor where only the first order corrections of the ground state energy level and energy gap were derived, we obtain the nonperturbative energy spectrum for the noncommutative superfluid Fermi gas, and find that each energy level contains a corrected factor of cosine function of noncommutative parameters. In addition, our result shows that the energy gap becomes narrow and the critical temperature of phase transition from a superfluid state to an ordinary fluid state decreases when compared with that in the commutative case.

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Section: )mentioning

confidence: 92%

Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space

Miao

Wang²

2014

SIGMA

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“…For instance, the twisted statistics of the particles will result in violation in Pauli principle [9,10], changes in HBT correlations [13] as well as changes in various other thermodynamic quantities [11,12]. The noncommutativity is also expected to have nontrivial signatures in CMB spectrum [14] etc.…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, since the noncommutative S-matrix elements are related to the analogous commutative ones only by an overall phase, so physical observables like transition probabilities, cross section and decay rates etc remain unchanged. In spite of this, various other collective mode phenomenons, particularly those depending crucially on statistics of the particles do get changed and offer testable predictions for the noncommutative theory [9][10][11][12][13][14].…”

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confidence: 99%

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Renormalization of noncommutative quantum field theories

2013

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We report on a comprehensive analysis of the renormalization of noncommutative φ 4 scalar field theories on the Groenewold-Moyal (GM) plane. These scalar field theories are twisted Poincaré invariant. Our main results are that these scalar field theories are renormalizable, free of UV/IR mixing, possess the same fixed points and β-functions for the couplings as their commutative counterparts. We also argue that similar results hold true for any generic noncommutative field theory with polynomial interactions and involving only pure matter fields. A secondary aim of this work is to provide a comprehensive review of different approaches for the computation of the noncommutative S-matrix: noncommutative interaction picture and noncommutative LSZ formalism.

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“…The effect of twisted statistics also manifests itself in certain thermodynamic quantities. 27,28 The two-point distribution functions remain unchanged…”

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confidence: 99%

Signatures of New Physics From HBT Correlations in Uhecrs

Srivastava

2012

Mod. Phys. Lett. A

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Quantum fields written on noncommutative spacetime (Groenewold-Moyal plane) obey twisted commutation relations. In this paper we show that these twisted commutation relations result in Hanbury-Brown Twiss (HBT) correlations that are distinct from that for ordinary bosonic or fermionic fields, and hence can provide useful information about underlying noncommutative nature of spacetime. The deviation from usual bosonic/fermionic statistics becomes pronounced at high energies, suggesting that a natural place is to look at Ultra High Energy Cosmic Rays (UHECRs). Since the HBT correlations are sensitive only to the statistics of the particles, observations done with UHECRs are capable of providing unambiguous signatures of noncommutativity, without any detailed knowledge of the mechanism and source of origin of UHECRs.

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Thermal correlation functions of twisted quantum fields

Cited by 10 publications

References 15 publications

Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space

Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space

Renormalization of noncommutative quantum field theories

Signatures of New Physics From HBT Correlations in Uhecrs

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