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We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective…

General Relativity and Quantum Cosmology · Physics 2020-06-11 Sandeep Aashish , Sukanta Panda

We study a new two-dimensional quantum gravity theory, based on a gravitational action containing both the familiar Liouville term and the Mabuchi functional, which has been shown to be related to the coupling of non-conformal matter to…

High Energy Physics - Theory · Physics 2014-10-27 Adel Bilal , Frank Ferrari , Semyon Klevtsov

We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations is obtained by using the adiabatic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Antonio L. Maroto , Francisco Prada

We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Miji\'c wormhole solutions. The main result is that the Euclidean partition functional $Z_{EQG}$ in the…

High Energy Physics - Theory · Physics 2010-04-06 Alberto Carlini , Maurizio Martellini

The gravitational positivity bound gives quantitative "swampland'' constraints on low-energy effective theories inside theories of quantum gravity. We give a comprehensive discussion of this bound for those interested in applications to…

High Energy Physics - Phenomenology · Physics 2024-07-17 Katsuki Aoki , Toshifumi Noumi , Ryo Saito , Sota Sato , Satoshi Shirai , Junsei Tokuda , Masahito Yamazaki

We calculate the quantum effective action for a scalar field which has been recently used for a specific kind of symmetry breaking in gravity. Our study consists of calculating the 1-loop path integral of canonical momentum and determining…

High Energy Physics - Theory · Physics 2014-03-04 Amin Akhavan

We consider properties of the gravitational path integral, ${Z}_{\text{grav}}$, of a four-dimensional gravitational effective field theory with $\Lambda>0$ at the quantum level. To leading order, ${Z}_{\text{grav}}$ is dominated by a…

High Energy Physics - Theory · Physics 2025-10-03 Dionysios Anninos , Chiara Baracco , Samuel Brian , Frederik Denef

Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non…

High Energy Physics - Theory · Physics 2015-04-17 Denis Comelli , Fabrizio Nesti , Luigi Pilo

We discuss a possible scenario to solve the hierarchy problem, in which 4-dimensional bosonic fields with all possible integer spins, graviton, gauge boson and Higgs are unified in a framework of a gravity theory with extra dimensions. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Hasegawa , C. S. Lim , Nobuhito Maru

We present a critical reappraisal of the available results on the broken phase of $\lambda(\Phi^4)_4$ theory, as obtained from rigorous formal analyses and from lattice calculations. All the existing evidence is compatible with Spontaneous…

High Energy Physics - Lattice · Physics 2009-10-22 A. Agodi , G. Andronico , M. Consoli

We start with the Hamiltonian formulation of the first order action of pure gravity with a full $\mathfrak{sl}(2,\mathbb C)$ internal gauge symmetry. We make a partial gauge-fixing which reduces $\mathfrak{sl}(2,\mathbb C)$ to its…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Hongguang Liu , Karim Noui

It is shown in Einstein gravity that the cosmological constant Lambda introduces a graviton mass m into the theory, a result that will be derived from the Regge-Wheeler-Zerilli problem for a particle falling onto a Kottler-Schwarzschild…

General Physics · Physics 2020-02-19 Thomas L. Wilson

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

High Energy Physics - Theory · Physics 2013-05-30 Artur R. Pietrykowski

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant way. We consider the use of four scalar…

High Energy Physics - Theory · Physics 2008-01-07 Gerard 't Hooft

We study the dependence of the observable stochastic gravitational wave background induced by a first-order phase transition on the global properties of the scalar effective potential in particle physics. The scalar potential can be that of…

High Energy Physics - Phenomenology · Physics 2020-01-06 Mikael Chala , Valentin V. Khoze , Michael Spannowsky , Philip Waite

In this work we study the high-energy Higgs boson phenomenology associated to the non-metricity scale $\Lambda_Q$ at the LHC. Non-metricity is present in more generic non-Riemannian geometries describing gravity beyond General Relativity…

High Energy Physics - Phenomenology · Physics 2022-09-28 Victor Ilisie

In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sven Faller

The Higgs boson is a central part of the electroweak theory and is crucial to generate masses for quarks, leptons and the weak gauge bosons. We use a 4-dimensional Euclidean lattice formulation of the Higgs-Yukawa sector of the electroweak…

High Energy Physics - Lattice · Physics 2015-06-03 Philipp Gerhold , Karl Jansen , Jim Kallarackal

We revisit the calculation of matter quantum effects on the graviton self-energy on a flat Minkowski background, with the aim to acquire a deeper understanding of the mechanism that renders the graviton massless. To this end, we derive a…

High Energy Physics - Theory · Physics 2015-03-25 Daniel Burns , Apostolos Pilaftsis

We employ the graviton self-energy induced by a massless, minimally coupled (MMC) scalar on de Sitter background to compute the quantum corrections to the gravitational potentials of a static point particle with a mass $M$. The…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Sohyun Park , Tomislav Prokopec , R. P. Woodard