715 research outputs found
On the weak-gravity bound for a shift-symmetric scalar field
The weak-gravity bound has been discovered in several asymptotically safe
gravity-matter systems. It limits the strength of gravitational fluctuations
that are compatible with an ultraviolet-complete matter sector, and results
from the collision of two partial fixed points of the matter system as a
function of the strength of the gravitational interactions. In this paper, we
will investigate this mechanism in detail for a shift-symmetric scalar field.
First, we will study the fixed point structure of the scalar system without
gravity. We find indications that the Gaussian fixed point is the only viable
fixed point, suggesting that a weak-gravity bound resulting from the collision
of two partial fixed points is a truncation artefact. We will then couple the
scalar system to gravity and perform different expansions to track the Gaussian
fixed point as gravitational fluctuations become stronger. We also introduce a
new notion of the weak-gravity bound that is based on the number of relevant
operators.Comment: 32 pages, 23 figure
Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge accounts for
the existence of infinitesimal Gribov copies as well as the dynamical formation
of condensates in the infrared of Euclidean Yang-Mills theories. We couple
scalar fields to the RGZ action and compute the one-loop scalar propagator in
the adjoint representation of the gauge group. We compare our findings with
existing lattice data. The fate of BRST symmetry in this model is discussed,
and we provide a comparison to a previous proposal for a non-minimal coupling
between matter and the RGZ action. We find good agreement with the lattice data
of the scalar propagator for the values of the mass parameters that fit the RGZ
gluon propagator to the lattice. This suggests that the non-perturbative
information carried by the gluon propagator in the RGZ framework provides a
suitable mechanism to reproduce the behavior of correlation functions of
colored matter fields in the infrared.Comment: 18 pages + refs.; 6 figures; Matches the journal versio
The fate of chiral symmetry in Riemann-Cartan geometry
We study the mechanism of chiral symmetry breaking for fermionic systems in a
gravitational background with curvature and torsion. The analysis is based on a
scale-dependent effective potential derived from a bosonized version of the
Nambu-Jona-Lasino model in a Riemann-Cartan background. We have investigated
the fate of chiral symmetry in two different regimes. First, to gain some
intuition on the combined effect of curvature and torsion, we investigate the
regime of weak curvature and torsion. However, this regime does not access the
deep infrared limit, which is essential to answer questions related to the
mechanism of gravitational catalysis in fermionic systems. Second, we look at
the regime of vanishing curvature and homogeneous torsion. In this case,
although we cannot probe the combined effects of curvature and torsion, we can
access the deep infrared contributions of the background torsion to the
mechanism of chiral symmetry breaking. Our main finding is that, in the
scenario where only torsion is present, there is no indication of a mechanism
of gravitational catalysis.Comment: 18 pages, 2 figure
Can quantum fluctuations differentiate between standard and unimodular gravity?
We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is achieved by means of a partial gauge fixing of diffeomorphisms together with a careful definition of the unimodular measure. The statement holds also in the presence of matter. As an explicit example, we consider scalar-tensor theories and compute the corresponding logarithmic divergences in both settings. In spite of significant differences in the coupling of the scalar field to gravity, the results are equivalent for all couplings, including non-minimal ones
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