Operator product expansion at finite temperature

Mallik, S.

doi:10.1016/s0370-2693(97)01335-x

Cited by 53 publications

(71 citation statements)

References 15 publications

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“…For instance the contribution to the R ratio of the π + π − π 0 channel to the R(s) ratio is of order 0.01 at √ s = 700MeV [13], while the R(s) ratio itself lies between 4.0 and 5.0 at the same center-of-mass energy. The smallness of the ratio (19) stems mainly from the small charge factor multiplying the Wick-disconnected contribution in (16). The relation (18) between the Wick-disconnected and the Wick-connected contribution can be translated back into the Euclidean correlator via the dispersion relation (5).…”

Section: Definitionsmentioning

confidence: 99%

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New representation of the Adler function for lattice QCD

et al. 2013

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We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important functions for a continuous set of virtualities, irrespective of the flavor structure of the current. Secondly we present a theoretical analysis of the finitesize effects on our particular representation of the Adler function, based on the operator product expansion at large momenta and on the spectral representation of the Euclidean correlator at small momenta. Finally, an analysis of the flavor structure of the electromagnetic current correlator is performed, where a recent theoretical estimate of the Wick-disconnected diagram contributions is rederived independently and confirmed.

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Section: Definitionsmentioning

confidence: 99%

“…The latter can be taken from the calculation [16] performed for thermal field theory in infinite volume, since on the T ×L 3 torus, the expectation value of a traceless rank-two tensor operator only has one independent non-vanishing component in spite of the lack of rotational invariance in a time slice.…”

Section: Wilson Coefficientsmentioning

confidence: 99%

New representation of the Adler function for lattice QCD

et al. 2013

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“…The approach presented here can be straightforwardly applied to other physically motivated situations such as the co-annihilation of charged states during freezeout. We note that OPE methods have been developed systematically before for thermal field theory in the QCD context for SVZ sum rules at finite temperature [6,7], and for the study of more general spectral functions in the low-energy QCD plasma [8]. Further, in [9] the calculation of the thermal production rate of a right-handed neutrino has been represented in an OPE form.…”

Section: Jhep09(2016)031mentioning

confidence: 99%

Finite-temperature modification of heavy particle decay and dark matter annihilation

Beneke¹,

Dighera²,

Hryczuk³

2016

J. High Energ. Phys.

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Abstract:We apply the operator product expansion (OPE) technique to the decay and annihilation of heavy particles in a thermal medium with temperature below the heavy particle mass, m χ . This allows us to explain two interesting observations made before: a) that the leading thermal correction to the decay width of a charged particle is the same multiplicative factor of the zero-temperature width for a two-body decay and muon decay, and b) that the leading thermal correction to fermionic dark matter annihilation arises only at order T 4 /m 4 χ . The OPE further considerably simplifies the computation and factorizes it into model-independent matrix elements in the thermal background, and short-distance coefficients to be computed in zero-temperature field theory.

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“…We now obtain the (singular) coefficients of the operators in coordinate space [14][15][16][17]. In the free field theory these are obtained from the Wick decomposition of the operator product.…”

Section: Operator Product Expansionmentioning

confidence: 99%

“…Collecting the above results we get 16) where the quark condensate in vacuum is given by 0|qq|0 /2 = 0|ūu|0 = −(225 MeV) 3 . Furthermore, we will usê m = 7 MeV below.…”

Section: Sum Rulesmentioning

confidence: 99%

QCD sum rules for ρ mesons in nuclear matter

Mallik

Nyffeler

2001

Phys. Rev. C

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We investigate QCD sum rules for vector currents in the rho meson channel in the nuclear medium. For increased sensitivity, we subtract out the vacuum contributions. With a saturation scheme often considered in the literature, we find these "subtracted" sum rules to be unstable. It indicates the importance of other contributions neglected in the saturation scheme. These include more Landau singularities at low energy, additional operators in the medium, and possibly the in-medium width of the rho meson.

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Operator product expansion at finite temperature

Cited by 53 publications

References 15 publications

New representation of the Adler function for lattice QCD

New representation of the Adler function for lattice QCD

Finite-temperature modification of heavy particle decay and dark matter annihilation

QCD sum rules for ρ mesons in nuclear matter

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