Synchrotron radiation in strongly coupled conformal field theories

Athanasiou, Christiana; Chesler, Paul M.; Liu, Hong; Nickel, Dominik; Rajagopal, Krishna

doi:10.1103/physrevd.81.126001

Cited by 56 publications

(210 citation statements)

References 31 publications

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“…The second traceless condition allows us to simplify the right-hand side of Eq. (31). Moving The Ricci tensor quadratic in the first order metric R ð1;1Þ to the right-hand side and noting the tracelessness of J ð2Þ ¼ J ð1Þ ¼ 0, we obtain the reshuffled Einstein equation for the second order corrections only:…”

Section: The Nlo Stress Tensor After the Collisionmentioning

confidence: 99%

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Critical condition in gravitational shock wave collision and heavy ion collisions

Lin

Shuryak

2011

Phys. Rev. D

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In this paper, we derive a critical condition for matter equilibration in heavy ion collisions using a holographic approach. Gravitational shock waves with infinite transverse extension are used to model an infinite nucleus. We construct the trapped surface in the collision of two asymmetric planar shock waves with sources at different depth in the bulk AdS and formulate a critical condition for matter equilibration in the collision of ''nuclei'' in the dual gauge theory. We find the critical condition is insensitive to the depth of the source closer to the AdS boundary. To understand the origin of the critical condition, we compute the Next-to-Leading Order stress tensor in the boundary field theory due to the interaction of the nuclei and find that the critical condition corresponds to the breaking down of the perturbative expansion. We expect nonperturbative effects are needed to describe black hole formation.

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Section: The Nlo Stress Tensor After the Collisionmentioning

confidence: 99%

“…Such propagator has been built in various applications of AdS/CFT, e.g. [21,[28][29][30][31]. Propagators in an AdS shock wave background were found in [32,33].…”

Section: The Nlo Stress Tensor After the Collisionmentioning

confidence: 99%

Critical condition in gravitational shock wave collision and heavy ion collisions

Lin

Shuryak

2011

Phys. Rev. D

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“…The latter is fully determined by conformal invariance, up to an overall factor h W , which depends non-trivially on the parameters of the theory:Here |x ⊥ | generically identifies the average orthogonal distance from the location of the line defect 2 .In this paper we address the question of computing h W using supersymmetric localization. In particular, we present a derivation of the relation between h W and a small deformation of the 1 It is worth mentioning that, before the achievement of these exact results, a huge effort has been made to compute the emitted radiation at strong coupling through the AdS/CFT correspondence [5][6][7][8] 2 For a fully consistent definition see section 3.2.…”

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confidence: 99%

Emitted radiation and geometry

et al. 2020

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In conformal N = 2 Super Yang-Mills theory, the energy emitted by an accelerated heavy particle is computed by the one-point function of the stress tensor operator in the presence of a Wilson line. In this paper, we consider the theory on the ellipsoid and we prove a conjectured relation between the stress tensor one-point function and the first order expansion of the Wilson loop expectation value in the squashing parameter. To do this, we analyze the behavior of the Wilson loop for a small deformation of the background geometry and, at first order in the deformation, we fix the kinematics using defect CFT constraints. In the final part of the paper, we analyze the consequences of our results for the weak coupling perturbative expansion. In particular, comparing the weakly coupled matrix model with the ordinary Feynman diagram expansion, we find a natural transcendentality driven organization for the latter. Keywords: N = 2 conformal SYM theories, Wilson loops, Brehmsstrahlung, rigid supersymmetry dimensions has no scale, thus the straight Wilson line can be treated as a conformal defect. The emitted radiation is computed by slightly deforming the shape of the defect.As usual, things get harder when one considers non-Abelian gauge theories, which are strongly coupled at low energies and where conformality is broken by quantum corrections. In light of this complexity, it is useful to restrict our attention to those examples of strongly interacting gauge theories which preserve conformality. These cases typically come with a larger symmetry group which includes supersymmetry, making them much more tractable. For the maximally supersymmetric theory in four dimensions, N = 4 Super Yang Mills (SYM) theory, the combination of defect techniques and supersymmetric localization led to the derivation of a beautiful formula for the Bremsstrahlung function associated with the Maldacena Wilson loop [1,2], preserving half of the supercharges. Shortly after, the same result was confirmed by an integrability computation [3,4], providing one of the few examples of a quantity that is accessible to both techniques 1 . The work of [1] heavily relied on the interpretation of the Wilson line as a superconformal defect. In particular, it was pointed out that the Bremsstrahlung function can be computed as the two-point function of an important defect operator, called the displacement operator. Furthermore, the same quantity can be related to the small angle limit of the cusp anomalous dimension, thus providing an interesting connection with massive scattering amplitudes.Similar developments allowed to find an exact expression for the Bremsstrahlung function in ABJM theory [9], a three-dimensional relative of N = 4 SYM. In that case, two superconformal Wilson lines are known (see [10] for a recent review). The immediate generalization of the Maldacena Wilson loop turns out to be 1 6 BPS [11-13] and its Bremsstrahlung function was already proposed in [14]. The maximally supersymmetric case [15], instead, involves also fermionic couplings ...

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“…evaluated at retarded time. It depends onȧ = da/dτ , because the improved energy-momentum tensor (15) involves second derivatives of the field, and the solution depends on the velocity of the probe. In the conformal case ξ = 1/6 the terms independent or linear in the acceleration are the same as in (8), up to an overall factor.…”

Section: A Maxwell Fieldmentioning

confidence: 99%

“…At the holographic probe level, the computation of 12 , followed by 13,14 indicated that for a 1/2 BPS probe coupled to N = 4 super Yang-Mills, in the large N , large λ limit, the total radiated power is indeed of the form given by (2). The beautiful works 15,16 dealt with the backreacted holographic computations, see also [17][18][19] . The work 15 considered only a probe in circular motion, and found agreement with (2).…”

Section: Introductionmentioning

confidence: 99%

On scalar radiation

Fiol

Martínez-Montoya

2020

J. High Energ. Phys.

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We discuss radiation in theories with scalar fields. Even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars, the radiative energy density is not positive definite, and the radiated power is not Lorentz invariant. We explore implications of this observation for radiation in conformal field theories. We find evidence that for a probe coupled to N = 4 super Yang-Mills, and following an arbitrary trajectory, the angular distribution of radiated power is independent of the Yang-Mills coupling.

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Synchrotron radiation in strongly coupled conformal field theories

Cited by 56 publications

References 31 publications

Critical condition in gravitational shock wave collision and heavy ion collisions

Critical condition in gravitational shock wave collision and heavy ion collisions

Emitted radiation and geometry

On scalar radiation

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