Exact momentum fluctuations of an accelerated quark in $ \mathcal{N} $ = 4 super Yang-Mills

Abstract

In this work we consider a heavy quark moving with constant proper acceleration in the vacuum of any four dimensional conformal field theory. We argue that the two-point function of its momentum fluctuations is exactly captured by the Bremsstrahlung function that gives the total radiated power. For the particular case of N = 4 SU(N) SYM this function is exactly known, so in this case we obtain an explicit expression for the momentum diffusion coefficient, and check that various limits of this result are reproduced by probe computations in AdS 5 . Finally, we evaluate this transport coefficient for a heavy quark accelerated in the vacuum of N = 4 SU(3) SYM, and comment on possible lessons of our results for the study of heavy quarks traversing the super Yang-Mills plasma.arXiv:1302.6991v2 [hep-th]

Exact probes of orientifolds

“…valid for any representation R. These Bremsstrahlung functions in turn completely determine various quantities of physical interest, like the total radiated power [18,19] and the momentum fluctuations of the corresponding accelerated probe [20]. These vevs also determine the exact change in the entanglement entropy of a spherical region when we add a heavy probe [21].…”

Exact Bremsstrahlung Function inN=2Superconformal Field Theories

“…It also captures the momentum diffusion coefficient of the accelerated probe. 8 Let us now discuss the Wilson line corresponding to the trajectory of a probe moving at constant proper acceleration. We can measure the energy density by studying the two-point function of the stress-energy tensor and this Wilson line.…”

Ladder exponentiation for generic large symmetric representation Wilson loops

“…a parametric expansion around some BPS or supersymmetric state. One example is the exact computation of the Bremsstrahlung radiation for a quark in N = 4 super Yang-Mills [11][12][13][14][15][16]. Another example is the BMN limit for single trace operators [17].…”