Asymptotic safety and the gauged<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>nonlinear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>model

Fabbrichesi, Marco; Percacci, Roberto; Tonero, Alberto; Zanusso, Omar

doi:10.1103/physrevd.83.025016

Cited by 31 publications

(42 citation statements)

References 32 publications

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“…While we cannot prove using perturbation theory that there is a fixed point in the TeV region of the electroweak interactions, this result is encouraging for the scenario envisaged in this note. We stress once again that there are indications of a non-trivial fixed point for the non-linear sigma model using exact renormalization group techniques [13][14][15]. The situation is thus very similar to that of quantum general relativity.…”

mentioning

confidence: 91%

“…(1) have the same property. There are actually indications that a non-linear sigma model has a non-trivial fixed point [13][14][15]. While for both the gravitational and electroweak interactions it is tremendously difficult to establish by calculations the existence of a fixed point, in the case of the electroweak interactions, this phenomenon will be probed in the coming years at the Large Hadron Collider.…”

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confidence: 99%

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Asymptotically Safe Weak Interactions

Calmet

2011

Mod. Phys. Lett. A

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We emphasize that the electroweak interactions without a Higgs boson are very similar to quantum general relativity. The Higgs field could just be a dressing field and might not exist as a propagating particle. In that interpretation, the electroweak interactions without a Higgs boson could be renormalizable at the non-perturbative level because of a non-trivial fixed point. Tree-level unitarity in electroweak bosons scattering is restored by the running of the weak scale.

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confidence: 91%

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confidence: 99%

Asymptotically Safe Weak Interactions

Calmet

2011

Mod. Phys. Lett. A

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“…At this point the EA 0 contains a local part of the same form of (36) except for the replacement of the subscripts by subscripts 0, plus a non-local part that is given by the last line of (48). In this part, using the perturbative logic, the bare couplings can also be replaced by renormalized ones, up to terms of higher order.…”

Section: Real Scalarmentioning

confidence: 99%

“…The finite part of the renormalized couplings is arbitrary and has to be determined by fitting the theory to experimental observations. Here we choose renormalization conditions that simply remove all the local terms contained in the integral in (48):…”

Section: Real Scalarmentioning

confidence: 99%

Computing the effective action with the functional renormalization group

et al. 2016

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The "exact" or "functional" renormalization group equation describes the renormalization group flow of the effective average action k . The ordinary effective action 0 can be obtained by integrating the flow equation from an ultraviolet scale k = down to k = 0. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We reproduce the four-point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral Lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang-Mills theory. We also compute the two-point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity.

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“…Several generalizations of the non-linear O(N)-sigma model appeared as low energy effective theories in hadronic physics related to current algebras before the surge of non-Abelian gauge theories in particle physics. In this work, we shall focus on a model belonging to the family of gauged non-linear Sigma models (see, e.g., [3]), which might be treated also in the interaction with gravity (see [4]), granting to this kind of systems a role in cosmology.…”

Section: Cpmentioning

confidence: 99%

Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes

Izquierdo

Guilarte

2016

Symmetry

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Abstract:In this paper, zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged U(1) nonlinear CP 1 -model. If 2πn, n ∈ Z, is the quantized magnetic flux of the two species of BPS vortex solutions, 2n linearly-independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension 2n of these stringy topological defects is thus locally shown.

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Asymptotic safety and the gaugedSU(N)nonlinearσmodel

Cited by 31 publications

References 32 publications

Asymptotically Safe Weak Interactions

Asymptotically Safe Weak Interactions

Computing the effective action with the functional renormalization group

Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes

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