skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas

Abstract

We consider the interaction of a heavy quark-antiquark pair moving in N=4 SYM plasma in the presence of nonvanishing chemical potentials. Of particular importance is the maximal length beyond which the interaction is practically turned off. We propose a simple phenomenological law that takes into account the velocity dependence of this screening length beyond the leading order and in addition its dependence on the R-charge. Our proposal is based on studies using rotating D3-branes.

Authors:
 [1];  [2]; ;  [3]
  1. Department of Physics, National Technical University of Athens, 15773, Athens (Greece)
  2. (Greece)
  3. Department of Engineering Sciences, University of Patras, 26110 Patras (Greece)
Publication Date:
OSTI Identifier:
21010922
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.025009; (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; B QUARKS; BRANES; C INVARIANCE; C QUARKS; CONFORMAL INVARIANCE; COSMOLOGY; POTENTIALS; QUANTUM FIELD THEORY; QUARK-ANTIQUARK INTERACTIONS; SUPERSYMMETRY; T QUARKS; TOPOLOGY; YANG-MILLS THEORY

Citation Formats

Avramis, Spyros D., Department of Engineering Sciences, University of Patras, 26110 Patras, Sfetsos, Konstadinos, and Zoakos, Dimitrios. Velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.025009.
Avramis, Spyros D., Department of Engineering Sciences, University of Patras, 26110 Patras, Sfetsos, Konstadinos, & Zoakos, Dimitrios. Velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas. United States. doi:10.1103/PHYSREVD.75.025009.
Avramis, Spyros D., Department of Engineering Sciences, University of Patras, 26110 Patras, Sfetsos, Konstadinos, and Zoakos, Dimitrios. Mon . "Velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas". United States. doi:10.1103/PHYSREVD.75.025009.
@article{osti_21010922,
title = {Velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas},
author = {Avramis, Spyros D. and Department of Engineering Sciences, University of Patras, 26110 Patras and Sfetsos, Konstadinos and Zoakos, Dimitrios},
abstractNote = {We consider the interaction of a heavy quark-antiquark pair moving in N=4 SYM plasma in the presence of nonvanishing chemical potentials. Of particular importance is the maximal length beyond which the interaction is practically turned off. We propose a simple phenomenological law that takes into account the velocity dependence of this screening length beyond the leading order and in addition its dependence on the R-charge. Our proposal is based on studies using rotating D3-branes.},
doi = {10.1103/PHYSREVD.75.025009},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
  • The following nitroxide spin-labeled crown ethers have been synthesized: 2,2-(sym-dibenzo-16-crown-5)-4,4-dimethyloxazolidinyl-N-oxyl (1), 2,2-(sym-dibenzo-16-crown-5)-4,4,5,5-tetramethylimidazolinyl-N-oxyl (2), and 3-carboxy-2,2,5,5-tetramethyl-3-pyrrolinyl-l-oxy hydroxy-sym-dibenzo-16-crown-5 ester (3). 1 and 2 are characterized by having the nitroxide near the crown cavity and rigidly bound to a ring carbon atom of the crown. 1-3 have been studied by EPR, and the proton hyperfine splittings have been determined by second harmonic out-of-phase detection. The values obtained for the proton hyperfine splittings of 1 were compared to those determined by ENDOR and found to agree within experimental error. EPR studies of hyperfine splitting constants and Heisenberg spin exchange suggest that these spin-labeled crownsmore » are poor complexing agents for alkali metal cations. The structure of 1 has been determined by x-ray diffraction, and the poor complexing ability of the crown is attributed to an unprecedented structural feature in which the hydrogen atoms of one methylene group of the propylene bridging linkage have turned inward with respect to the cavity of the crown. The proton hyperfine splitting observed for 1 is attributed to protons located at approximately van der Waals distances from the NO group.« less
  • Using the requirement of M\"{o}bius invariance ofmore » $${\cal N}$$=4 SYM amplitudes in the Regge limit we restore the conformal NLO BFKL kernel out of the eigenvalues known from the forward NLO BFKL result.« less
  • High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformalmore » $${\cal N}$$=4 SYM theory. We define the ``composite dipole operator' with the rapidity cutoff preserving conformal invariance. The resulting M\"obius invariant kernel agrees with the forward NLO BFKL calculation of Ref. 1« less
  • We provide an analytic formula for the (rescaled) one-loop scalar hexagon integral {tilde {Phi}}{sub 6} with all external legs massless, in terms of classical polylogarithms. We show that this integral is closely connected to two integrals appearing in one- and two-loop amplitudes in planar N = 4 super-Yang-Mills theory, {Omega}{sup (1)} and {Omega}{sup (2)}. The derivative of {Omega}{sup (2)} with respect to one of the conformal invariants yields {tilde {Phi}}{sub 6}, while another first-order differential operator applied to {tilde {Phi}}{sub 6} yields {Omega}{sup (1)}. We also introduce some kinematic variables that rationalize the arguments of the polylogarithms, making it easymore » to verify the latter differential equation. We also give a further example of a six-dimensional integral relevant for amplitudes in N = 4 super-Yang-Mills.« less