Running inflation in the Standard Model
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Spectral index
Planck mass
Effective field theory
Asymptotic safety is a set of conditions, based on the existence of a nontrivial fixed point for the renormalization group flow, which would make a quantum field theory consistent up to arbitrarily high energies. After introducing the basic ideas of this approach, I review the present evidence in favor of an asymptotically safe quantum field theory of gravity.
Ultraviolet fixed point
Field theory (psychology)
Functional renormalization group
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This paper continues the program of considering effective field theories which describe a given subset of fields of a quantum field theory. It is shown that predictions of the complete theory, renormalized by means of dimensional regularization with nonminimal subtraction, coincide with those of the local effective field theory with dimension at most four, renormalized by dimensional regularization and minimal subtraction. It is also shown that the renormalization-group equations for low-momenta light-particle processes, as described by the complete theory and the local effective field theory, are identical-a nontrivial result requiring cancellations between the implicit and explicit mass-scale dependence of the parameters of the effective field theory. These results provide the justification for the treatment of the effective field theory as a local theory, uncoupled from the heavy-particle sector. We will present our results in the context of scalar theories with broken symmetry since, for these theories, the demonstration of uncoupling involves the greatest subtlety.
Effective field theory
Scalar field theory
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Decoupling (probability)
Field theory (psychology)
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We show that, by using resummation techniques based on the extension of the methods of Yennie, Frautschi and Suura to Feynman's formulation of Einstein's theory, we get quantum field theoretic predictions for the UV fixed-point values of the dimensionless gravitational and cosmological constants. Connections to the phenomenological asymptotic safety analysis of Planck scale cosmology by Bonanno and Reuter are discussed.
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Planck mass
Cosmological constant
Planck length
Dimensionless quantity
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Effective field theory
Functional renormalization group
Field theory (psychology)
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We study a two-field quintessential Higgs inflation model in which a quintessence field with an exponential potential $e^{-\beta\phi/M_P}$ is coupled to the Higgs field from the beginning of inflation. The Higgs field itself is also non-minimally coupled to gravity. The inflationary predictions of this model for $n_s$ and $r$ are in good agreement with Planck 2018 data. We calculate the observables $n_s$ and $r$ against the free parameter $\beta$. Comparing these parameters with the observed $n_s$ and $r$ in Planck 2018 paper, we find $\beta \lesssim 8\times 10^{-3}$ that strongly disfavors the Swampland conjecture.
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The non-observation of the Higgs boson and supersymmetry in the most recent high energy physics data, suggests to consider the conjectured Planck mass plasma as a potential alternative. In it supersymmetry is replaced by the assumption that the vacuum of space is densely filled in equal numbers with positive and negative Planck mass particles, and the Higgs field by the gravitational field of interacting large positive with likewise large negative mass quasiparticles of the Planck mass plasma, giving these positive-negative mass configurations a small positive gravitational field mass. From this configuration the Dirac equation can be derived, with the fermions of the standard model composed of large positive and negative masses.
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Negative mass
Negative energy
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We study the parametrization and gauge dependences in the Higgs field coupled to gravity in the context of asymptotic safety. We use the exponential parametrization to derive the fixed points for the cosmological constant, Planck mass, Higgs mass and its coupling, keeping arbitrary gauge parameters $\alpha$ and $\beta$. We find that the beta functions for the Higgs potential are expressed in terms of redefined Planck mass such that the apparent gauge dependence is absent. Only the trace mode of the gravity fluctuations couples to the Higgs potential and it tends to decouple in the large $\beta$ limit, but the anomalous dimension becomes large, invalidating the local potential approximation. There are also singularities for some values of the gauge parameters but well away from these, we find rather stable fixed points and critical exponents. We thus find that there are regions for the gauge parameters to give stable fixed points and critical exponents against the change of gauge parameters. The Higgs coupling is confirmed to be irrelevant for the reasonable choice of gauge parameters.
Planck mass
Parametrization (atmospheric modeling)
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Functional renormalization group
Ultraviolet fixed point
Semiclassical gravity
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We investigate the cosmological consequences of a theory of induced gravity in which the scalar field is identified with the Higgs field of the first symmetry breaking of a minimal SU(5) GUT. The mass of the X boson determines a great value for the coupling constant of of gravity-particle physics. Because of this fact, a ``slow'' rollover dynamics for the Higgs field is not possible in a ``new'' inflation scenario and, moreover, a contraction era for the scale factor in the early Universe exists, after which inflation follows automatically; ``chaotic'' inflation is performed without problems. Inflation is successfully achieved due to the relationship among the masses of particle physics at that scale: the Higgs-boson, X-boson, and Planck masses. As a result the particle physics parameter \ensuremath{\lambda} is not fine-tuned as usual in order to predict acceptable values of reheating temperature and density and gravitational wave perturbations. Moreover, if the coherent Higgs oscillations did not decay they could explain the missing mass problem of cosmology.
Planck mass
Tachyonic field
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Asymptotic safety is a set of conditions, based on the existence of a nontrivial fixed point for the renormalization group flow, which would make a quantum field theory consistent up to arbitrarily high energies. After introducing the basic ideas of this approach, I review the present evidence in favor of an asymptotically safe quantum field theory of gravity.
Ultraviolet fixed point
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Citations (64)