Asymptotically Safe Weak Interactions

Calmet, Xavier

doi:10.1142/s0217732311035900

Cited by 14 publications

(13 citation statements)

References 28 publications

(40 reference statements)

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“…For > 0, neither the gauge coupling nor the Yukawa coupling are asymptotically free at this fixed point. Ultimately, this is related to the sign of either β-function being positive arbitrarily close to (24), making it an IR fixed point. A second, non-trivial fixed point is found as well, (α * g , α * h ) = (0, 0) which is an UV fixed point with coordinates…”

Section: Next-to-leading Ordermentioning

confidence: 99%

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Litim

Sannino

2014

J. High Energ. Phys.

247

531

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Abstract:We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime where asymptotic freedom is lost, we explain how the three types of fields cooperate to develop fully interacting ultraviolet fixed points, strictly controlled by perturbation theory. Extensions towards strong coupling and beyond the large-N limit are discussed.

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Section: Next-to-leading Ordermentioning

confidence: 99%

Asymptotic safety guaranteed

Litim

Sannino

2014

J. High Energ. Phys.

247

531

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“…One of the expectations in future LHC experiments is the appearance of signals indicating the presence of Planck scale micro BHs, at least, as virtual intermediate states. [60][61][62][63][64][65] In other words they are supposed to be just another structure in the elementary particle zoo. From this point of view, it is hardly arguable that these quantum gravitational excitations can somehow defy the laws of quantum mechanics and instead be described on the same geometrical terms as their cosmic cousins of a million, or so, solar masses.…”

Section: The "Breathing" Horizon: a Classical Particle-like Modelmentioning

confidence: 99%

Regular black holes from semi-classical down to Planckian size

Spallucci

Smailagić

2017

Int. J. Mod. Phys. D

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In this paper we review various models of curvature singularity free black holes. In the first part of the review we describe semi-classical solutions of the Einstein equations which, however, contains a " quantum " input through the matter source. We start by reviewing the early model by Bardeen where the metric is regularized by-hand through a short-distance cut-off, which is justified in terms of non-linear electro-dynamical effects. This toy-model is useful to point-out the common features shared by all regular semi-classical black holes. Then, we solve Einstein equations with a Gaussian source encoding the quantum spread of an elementary particle. We identify, the a priori arbitrary, Gaussian width with the Compton wavelength of the quantum particle. This ComptonGauss model leads to the estimate of a terminal density that a gravitationally collapsed object can achieve. We identify this density to be the Planck density, and reformulate the Gaussian model assuming this as its peak density. All these models, are physically reliable as long as the black hole mass is big enough with respect to the Planck mass. In the truly Planckian regime, the semi-classical approximation breaks down. In this case, a fully quantum black hole description is needed. In the last part of this paper, we propose a non-geometrical quantum model of Planckian black holes implementing the Holographic Principle and realizing the " classicalization " scenario recently introduced by Dvali and collaborators. The classical relation between the mass and radius of the black hole emerges only in the classical limit, far away from the Planck scale.

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“…Recently, phenomenological ultraviolet conformal extensions of the standard model with and without gravity have received much attention [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. More generally, model building requiring scale invariance both in particle physics and cosmology is an active area of research.…”

Section: Introductionmentioning

confidence: 99%

Higgs critical exponents and conformal bootstrap in four dimensions

Antipin

Mølgaard

Sannino

2015

J. High Energ. Phys.

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Abstract:We investigate relevant properties of composite operators emerging in nonsupersymmetric, four-dimensional gauge-Yukawa theories with interacting conformal fixed points within a precise framework. The theories investigated in this work are structurally similar to the standard model of particle interactions, but differ by developing perturbative interacting fixed points. We investigate the physical properties of the singlet and the adjoint composite operators quadratic in the Higgs field, and discover, via a direct computation, that the singlet anomalous dimension is substantially larger than the adjoint one. The numerical bootstrap results are, when possible, compared to our precise findings associated to the four dimensional conformal field theoretical results. To accomplish this, it was necessary to calculate explicitly the crossing symmetry relations for the global symmetry group SU(N ) × SU(N ).

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Asymptotically Safe Weak Interactions

Cited by 14 publications

References 28 publications

Asymptotic safety guaranteed

Asymptotic safety guaranteed

Regular black holes from semi-classical down to Planckian size

Higgs critical exponents and conformal bootstrap in four dimensions

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