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We study the quantum-gravitational corrections to the power spectrum of a gauge-invariant inflationary scalar perturbations in a closed model of a universe. We consider canonical quantum gravity as an approach to quantizing gravity. This…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Tatevik Vardanyan , Claus Kiefer

Quantum gravity in 4D asymptotically flat spacetimes features spontaneous symmetry breaking due to soft radiation hair, intimately tied to the proliferation of IR divergences. A holographic description via a putative 2D CFT is expected free…

High Energy Physics - Theory · Physics 2025-08-05 Alfredo Guevara , Yangrui Hu

We consider dressed 1-electron states in a translation-invariant model of non-relativistic QED. To start with a well-defined model, the interaction Hamiltonian is cutoff at very large photon energies (ultraviolet cutoff) and regularized at…

Mathematical Physics · Physics 2007-05-23 Thomas Chen , Juerg Froehlich

A direct correspondence of quantum mechanics as a minisuperspace model for a self-interacting scalar quantum-field theory is established by computing, in several models, the infrared contributions to 1-loop effective potentials of…

High Energy Physics - Theory · Physics 2016-06-08 Martin Bojowald , Suddhasattwa Brahma

We solve a Schrodinger equation for inelastic quantum transport that retains full quantum coherence, in contrast to previous rate or Boltzmann equation approaches. The model Hamiltonian is the zero temperature 1d Holstein model for an…

Strongly Correlated Electrons · Physics 2009-10-30 Janez Bonca , S. A. Trugman

We compute the four-photon ($F^4$) operators generated by loops of charged particles of spin $0$, $\frac{1}{2}$, $1$ in the presence of gravity and in any spacetime dimension $d$. To this end, we expand the one-loop effective action via the…

High Energy Physics - Theory · Physics 2025-08-26 Pedro Bittar , Sylvain Fichet , Lucas de Souza

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field…

General Relativity and Quantum Cosmology · Physics 2010-06-10 Ron Lenk

In this paper we first derive a Coulomb Hamiltonian for electron--electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch model, which happens to be nonlinear in the density matrix.…

Mathematical Physics · Physics 2014-02-13 Brigitte Bidégaray-Fesquet , Kole Keita

By applying the Born-Huang expansion, originally developed for coupled nucleus-electron systems, to the full nucleus-electron-photon Hamiltonian of non-relativistic quantum electrodynamics (QED) in the long-wavelength approximation, we…

Quantum Physics · Physics 2018-10-10 Christian Schäfer , Michael Ruggenthaler , Angel Rubio

We carry out a Lorentz gauge evaluation of the single-soft photon bremsstrahlung radiative corrections to the unpolarized elastic lepton-proton scattering cross section at low energies using the framework of heavy baryon chiral effective…

High Energy Physics - Phenomenology · Physics 2025-08-12 Bhoomika Das , Rakshanda Goswami , Pulak Talukdar , Udit Raha , Fred Myhrer

A quantum linear Boltzmann equation is proposed, constructed in terms of the operator-valued dynamic structure factor of the macroscopic system the test particle is interacting with. Due to this operator structure it is a non-Abelian linear…

Quantum Physics · Physics 2009-11-07 Bassano Vacchini

Schr\"{o}dinger field theory with an attractive self-interaction possess non-topological extended solutions with a finite energy in both finite and infinite-volume cases, namely, bright solitons. The analytical form of the solution itself…

High Energy Physics - Theory · Physics 2022-03-14 Andrei Kovtun

We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilton-Jacobi equation of the conventional semi-classical…

Mathematical Physics · Physics 2015-06-03 Vincent Moncrief , Antonella Marini , Rachel Maitra

We present and discuss in detail practical techniques in formulating effective models to describe the dynamics of low-energy electrons in generic bilayer graphene. Starting from a tight-binding model using the $p_z$ orbital of carbon atoms…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 H. Minh Lam , V. Nam Do

We revisit the theoretical description of the ultrastrong light-matter interaction in terms of exactly solvable effective Hamiltonians. A perturbative approach based on polaronic and spin-dependent squeezing transformations provides an…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 P. Gartner , V. Moldoveanu

We study the infrared on-shell action of Einstein gravity in asymptotically flat spacetimes, obtaining an effective, gauge-invariant boundary action for memory and shockwave spacetimes. We show that the phase space is in both cases…

High Energy Physics - Theory · Physics 2025-05-06 Temple He , Ana-Maria Raclariu , Kathryn M. Zurek

We analyze a realistic microscopic model for electronic scattering with the neutral differential delay equations of motion of point charges of the Wheeler-Feynman electrodynamics. We propose a microscopic model according to the…

Quantum Physics · Physics 2017-02-27 Jayme De Luca

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

High Energy Physics - Theory · Physics 2025-09-29 Kanan Anwar

We continue our study on corrections from canonical quantum gravity to the power spectra of gauge-invariant inflationary scalar and tensor perturbations. A direct canonical quantization of a perturbed inflationary universe model is…

General Relativity and Quantum Cosmology · Physics 2017-01-02 David Brizuela , Claus Kiefer , Manuel Kraemer

We present a simple scheme to evaluate linear response functions including quantum fluctuation corrections on top of the Gutzwiller approximation. The method is derived for a generic multi-band lattice Hamiltonian without any assumption…

Strongly Correlated Electrons · Physics 2017-03-08 Michele Fabrizio