Holographic collisions in confining theories

Abstract

Abstract:We study the gravitational dual of a high-energy collision in a confining gauge theory. We consider a linearized approach in which two point particles traveling in an AdSsoliton background suddenly collide to form an object at rest (presumably a black hole for large enough center-of-mass energies). The resulting radiation exhibits the features expected in a theory with a mass gap: late-time power law tails of the form t −3/2 , the failure of Huygens' principle and distortion of the wave pattern as it propagates. The energy spectrum is exponentially suppressed for frequencies smaller than the gauge theory mass gap. Consequently, we observe no memory effect in the gravitational waveforms. At larger frequencies the spectrum has an upward-stairway structure, which corresponds to the excitation of the tower of massive states in the confining gauge theory. We discuss the importance of phenomenological cutoffs to regularize the divergent spectrum, and the aspects of the full non-linear collision that are expected to be captured by our approach.

Multiscale confining dynamics from holographic RG flows

“…The numerical values of the masses at each of the fixed points are given in table 1. As a consistency check, we note that, within numerical accuracy, the ratios at the UV fixed point agree with those of the scalar gravitational modes in the AdS 6 soliton shown in table 1 of [136].…”

Gravitational collapse and thermalization in the hard wall model

“…-1 -1 Shock wave collisions in confining models have been studied in [2,3]. 2 See [6] for a numerical study of this process (see also [7,8,9,10] for similar techniques used in a slightly different setup), and [11] for earlier work on a closely related setup.…”

Synchrotron radiation in odd dimensions

“…Over the past two decades, interest has arisen in the theory of radiation in space-time dimensions other than four. This was due to the emergence of theories with large extra dimensions [1], the development of a holographic approach to the description of quark-gluon plasma [2,3], the beginning of gravitational-wave astronomy and other reasons. The case of three-dimensional space-time became relevant in connection with the development of field-theoretical models in condensed matter physics, such as quantum Hall effect, high-temperature superconductivity, and graphene.…”

“…Motivation for studying radiation in various dimensions comes also from holography, namely, the holographic modeling of quark-gluon plasma [2]. From the gravity side it involves consideration of gravitational radiation in collisions of ultrarelativistic particles or approximating them shock gravitational waves on the background of anti-de Sitter [3]. Radiation in higher-dimensions is relevant to the problem of creation of black holes in particle collisions in theories with extra dimensions [16][17][18].…”