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The dimensionful nature of the coupling in the Einstein-Hilbert action in four dimensions implies that the theory is non-renormalizable; explicit calculation shows that beginning at two loop order, divergences arise that cannot be removed…

High Energy Physics - Theory · Physics 2019-08-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

A Lagrange multiplier field restricts the quantum corrections to the Einstein-Hilbert action at one-loop order, yielding a model that is renormalizable and unitary while reproducing the Einstein field equations in the classical limit.

High Energy Physics - Theory · Physics 2026-05-19 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

A Lagrange multiplier field can be used to restrict radiative corrections to the Einstein-Hilbert action to one-loop order. This result is employed to show that it is possible to couple a scalar field to the metric (graviton) field in such…

High Energy Physics - Theory · Physics 2025-06-12 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

Quantizing any model in which a Lagrange multiplier (LM) field is used to restrict field configurations to those that satisfy the classical equations of motion, leads to at most one-loop radiative corrections. This approach can be used with…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

The USMEG-EFT framework~\cite{ChishtieEFT2025,ChishtieBreakdown2023} provides systematic quantum gravity through with 4D General Relativity (GR) achieving Standard Model-gravity unification. This work examines Einstein-Cartan theory against…

General Physics · Physics 2025-09-12 Farrukh A. Chishtie

The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange…

High Energy Physics - Theory · Physics 2021-04-12 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

Unification of gravity and electromagnetism based on a theory with an affine non-symmetric connection $\Gamma^\lambda_{\mu\nu} \neq \Gamma^\lambda_{\nu\mu}$ and $\Gamma_\mu = \Gamma^\lambda_{[\mu\lambda]}\neq 0$, proposed by S. N. Bose in…

General Relativity and Quantum Cosmology · Physics 2018-08-30 Partha Ghose

We consider a generic class of effective quantum field theories with arbitrary gauge groups and scalar matter fields. In such theories, we derive the one-loop Renormalization Group Equations (RGEs) for the physical dimension-six operators.…

High Energy Physics - Phenomenology · Physics 2025-03-25 Mikołaj Misiak , Ignacy Nałęcz

The renormalization of the effective field theories (EFTs) in many-body systems is the most pressing and challenging problem in modern nuclear ab initio calculation. For general non-relativistic EFTs, we prove that the renormalization group…

Nuclear Theory · Physics 2023-08-29 Bing-Nan Lu , Bao-Ge Deng

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings, etc. which include the class of quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Akhundov , S. Bellucci , A. Shiekh

We adopt a novel approach to combine path integral methods with Loop Quantum Gravity (LQG). Our approach builds upon the recently developed coherent state path integral formulation of LQG to compute the one-loop effective action. We compare…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Renata Ferrero , Muxin Han , Hongguang Liu

We calculate one loop contributions to $\Gamma(h \rightarrow \gamma \, \gamma)$ from higher dimensional operators, in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related to determining Electroweak one loop…

High Energy Physics - Phenomenology · Physics 2017-07-12 Christine Hartmann , Michael Trott

We conjecture that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be summed in all terms containing the field-strength invariants $\mathcal{F} = \frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$,…

High Energy Physics - Theory · Physics 2021-04-28 Jose Navarro-Salas , Silvia Pla

We introduce Scale Factorized-Quantum Field Theory (SF-QFT), a framework performing path-integral factorization of ultraviolet and infrared momentum modes at a physical scale $Q^*$ before perturbative expansion through Effective Dynamical…

High Energy Physics - Phenomenology · Physics 2026-03-23 Farrukh A. Chishtie

Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of action functionals depending on the metric and the torsion tensor, the latter…

High Energy Physics - Theory · Physics 2016-03-23 Martin Reuter , Gregor M. Schollmeyer

This paper is an {\sf application} to Einstein's gravity (EG) of the mathematics developed in A. Plastino, M. C. Rocca: J. Phys. Commun. {\bf 2}, 115029 (2018). We will quantize EG by appeal to the most general quantization approach, the…

General Physics · Physics 2021-10-05 A. Plastino , M. C. Rocca

The Einstein-Hilbert Lagrangian for gravity is non-renormalizable at loop level. However, it can be treated in the effective field theory framework which means that gravity as an effective theory can be renormalized when a proper expansion…

High Energy Physics - Theory · Physics 2018-08-23 Safi Rafie-Zinedine

In this paper the non-local finite quantum-gravity framework is incorporated into the Complex non-Riemannian Holomorphic Unified Field Theory formulated on a complexified four-dimensional manifold. By introducing entire-function regulators…

General Physics · Physics 2025-07-22 J. W. Moffat , E. J. Thompson

Supergeometric Quantum Field Theories (SG-QFTs) are theories that go beyond the standard supersymmetric framework, since they allow for general scalar-fermion field transformations on the configuration space of a supermanifold, without…

High Energy Physics - Theory · Physics 2024-10-04 Viola Gattus , Apostolos Pilaftsis

The problem of eliminating divergences arising in quantum gravity is generally addressed by modifying the classical Einstein-Hilbert action. These modifications might involve the introduction of local supersymmetry, the addition of terms…

High Energy Physics - Theory · Physics 2021-12-15 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda
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