# Generalized emission functions for photon emission from quark-gluon plasma

## Abstract

The Landau-Pomeranchuk-Migdal effects on photon emission from the quark-gluon plasma have been studied as a function of photon mass, at a fixed temperature of the plasma. The integral equations for the transverse vector function [f-tilde)(p-tilde){sub (perpendicular)})] and the longitudinal function [g-tilde)(p-tilde){sub (perpendicular)})] consisting of multiple scattering effects are solved by the self-consistent iterations method and also by the variational method for the variable set {l_brace}p{sub 0},q{sub 0},Q{sup 2}{r_brace}. We considered the bremsstrahlung and the off shell annihilation (aws) processes. We define two new dynamical scaling variables, x{sub T},x{sub L}, for bremsstrahlung and aws processes which are functions of variables p{sub 0},q{sub 0},Q{sup 2}. We define four new emission functions for massive photon emission represented by g{sub T}{sup b},g{sub T}{sup a},g{sub L}{sup b},g{sub L}{sup a} and we constructed these using the exact numerical solutions of the integral equations. These four emission functions have been parametrized by suitable simple empirical fits. Using the empirical emission functions, we calculated the imaginary part of the photon polarization tensor as a function of photon mass and energy.

- Authors:

- Nuclear Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085 (India)

- Publication Date:

- OSTI Identifier:
- 20990995

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.021902; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANNIHILATION; BREMSSTRAHLUNG; FUNCTIONS; INTEGRAL EQUATIONS; MASS; MULTIPLE SCATTERING; NUMERICAL SOLUTION; PHOTON EMISSION; PHOTONS; PLASMA; QUARK MATTER; VECTORS

### Citation Formats

```
Suryanarayana, S. V.
```*Generalized emission functions for photon emission from quark-gluon plasma*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.021902.

```
Suryanarayana, S. V.
```*Generalized emission functions for photon emission from quark-gluon plasma*. United States. doi:10.1103/PHYSREVC.75.021902.

```
Suryanarayana, S. V. Thu .
"Generalized emission functions for photon emission from quark-gluon plasma". United States.
doi:10.1103/PHYSREVC.75.021902.
```

```
@article{osti_20990995,
```

title = {Generalized emission functions for photon emission from quark-gluon plasma},

author = {Suryanarayana, S. V.},

abstractNote = {The Landau-Pomeranchuk-Migdal effects on photon emission from the quark-gluon plasma have been studied as a function of photon mass, at a fixed temperature of the plasma. The integral equations for the transverse vector function [f-tilde)(p-tilde){sub (perpendicular)})] and the longitudinal function [g-tilde)(p-tilde){sub (perpendicular)})] consisting of multiple scattering effects are solved by the self-consistent iterations method and also by the variational method for the variable set {l_brace}p{sub 0},q{sub 0},Q{sup 2}{r_brace}. We considered the bremsstrahlung and the off shell annihilation (aws) processes. We define two new dynamical scaling variables, x{sub T},x{sub L}, for bremsstrahlung and aws processes which are functions of variables p{sub 0},q{sub 0},Q{sup 2}. We define four new emission functions for massive photon emission represented by g{sub T}{sup b},g{sub T}{sup a},g{sub L}{sup b},g{sub L}{sup a} and we constructed these using the exact numerical solutions of the integral equations. These four emission functions have been parametrized by suitable simple empirical fits. Using the empirical emission functions, we calculated the imaginary part of the photon polarization tensor as a function of photon mass and energy.},

doi = {10.1103/PHYSREVC.75.021902},

journal = {Physical Review. C, Nuclear Physics},

number = 2,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}