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We study perturbative unitarity bounds on the field-space curvature in de Sitter spacetime, using the momentum-space entanglement approach recently proposed by Duaso Pueyo, Goodhew, McCulloch, and Pajer. As an illustration, we perform a…

High Energy Physics - Theory · Physics 2026-03-17 Qianhang Cai , Tomoya Inada , Masataka Ishikawa , Kanji Nishii , Toshifumi Noumi

We reconsider perturbative unitarity in quantum field theory and upgrade several arguments and results. The minimum assumptions that lead to the largest time equation, the cutting equations and the unitarity equation are identified. Using…

High Energy Physics - Theory · Physics 2016-07-27 Damiano Anselmi

Unitarity of time evolution is one of the basic principles constraining physical processes. Its consequences in the perturbative Bunch-Davies wavefunction in cosmology have been formulated in terms of the cosmological optical theorem. In…

High Energy Physics - Theory · Physics 2024-05-16 Soner Albayrak , Paolo Benincasa , Carlos Duaso Pueyo

We derive a perturbation theory (PT) for the Lorentz boost operator in the space of two-nucleon wave functions. The latter is expressed in terms of the nucleon-nucleon ($NN$) potentials, developed so far in great detail for their use in the…

Nuclear Theory · Physics 2025-09-15 Alexander N. Kvinikhidze , Hagop Sazdjian , Boris Blankleider

We show how to compute the purity and entanglement entropy for quantum fields in a systematic perturbative expansion. To that end, we generalize the in-in formalism to non-unitary dynamics (i.e. accounting for the presence of an…

High Energy Physics - Theory · Physics 2024-08-29 Thomas Colas , Julien Grain , Greg Kaplanek , Vincent Vennin

Perturbative techniques are important for modified theories of gravity since they allow to calculate deviations from General Relativity without recurring to exact solutions, which can be difficult to find. When applied to models such as…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Daniel Molano , Fabián Darío Villalba , Leonardo Castañeda , Pedro Bargueño

We revisit perturbative unitarity in scalar field inflation with a nonminimal coupling, with Higgs inflation serving as the most prominent example. Although such models are phenomenologically successful, it is critical to examine whether or…

High Energy Physics - Phenomenology · Physics 2025-05-28 Thomas Steingasser , Mark P. Hertzberg , David I. Kaiser

Primordial perturbations in our universe are believed to have a quantum origin, and can be described by the wavefunction of the universe (or equivalently, cosmological correlators). It follows that these observables must carry the imprint…

High Energy Physics - Theory · Physics 2021-06-16 Scott Melville , Enrico Pajer

Flat-space physics is highly constrained by basic principles such as Lorentz invariance, locality, unitarity and causality. This is neatly seen in the structure of scattering amplitudes. For processes occurring in an expanding background we…

High Energy Physics - Theory · Physics 2022-03-31 Paolo Benincasa

We study the perturbative unitarity of the Lee-Wick models, formulated as nonanalytically Wick rotated Euclidean theories. The complex energy plane is divided into disconnected regions and the values of a loop integral in the various…

High Energy Physics - Theory · Physics 2017-08-11 Damiano Anselmi , Marco Piva

The problem of solving perturbatively the equations describing the evolution of self-gravitating collisionless matter in an expanding universe considerably simplifies when directly formulated in terms of the gravitational and velocity…

Astrophysics · Physics 2015-06-24 Paolo Catelan , Francesco Lucchin , Sabino Matarrese , Lauro Moscardini

The apparent breakdown of unitarity in low order perturbation theory is often is used to place bounds on the parameters of a theory. In this work we give an algorithm for approximately computing the next-to-leading order (NLO)…

High Energy Physics - Phenomenology · Physics 2017-08-23 Christopher W. Murphy

It is shown that the potential perturbation that shifts a chosen standing wave in space is a block of potential barrier and well for every wave bump between neighbouring knots. The algorithms shifting the range of the primary localization…

Quantum Physics · Physics 2015-06-26 V. M. Chabanov , B. N. Zakhariev

In this paper we examine the validity of the linear perturbation theory near a bounce in the covariant analysis. Some linearity parameters are defined to set up conditions for a linear theory. Linear evolution of density perturbation and…

General Relativity and Quantum Cosmology · Physics 2012-12-21 Atanu Kumar

Recently developed strong-coupling theory open up the possibility of treating quantum-mechanical systems with hard-wall potentials via perturbation theory. To test the power of this theory we study here the exactly solvable quantum…

Condensed Matter · Physics 2009-10-31 H. Kleinert , A. Chervyakov , B. Hamprecht

In this paper we show how quantum corrections, although perturbatively small, may play an important role in the analysis of the existence of some classical models. This, in fact, appears to be the case of static, uniform--density models of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Manuela Campanelli , Carlos O. Lousto

Motivated by quantum gravity on spacetimes with multi-scale geometry, we analyze quantum field theories with a self-adjoint fractional power $(\Box^2)^{\gamma/2}$ of the d'Alem\-bert\-ian in the kinetic term, for any real $\gamma>0$.…

High Energy Physics - Theory · Physics 2026-03-27 Gianluca Calcagni , Fabio Briscese

We discuss the connection between the Fock space introduced by Ashtekar and Pierri for Einstein-Rosen waves and its perturbative counterpart based on the concept of particle that arises in linearized gravity with a de Donder gauge. We show…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Fernando Barbero G. , Guillermo A. Mena Marugan , Eduardo J. S. Villaseñor

Quantum decoherence is the disappearance of simple phase relations within a discrete quantum system as a result of interactions with an environment. For many applications, the question is not necessarily how to avoid (inevitable)…

Quantum Physics · Physics 2022-10-19 Justin Provazza , Roel Tempelaar

We make progress towards an analytical understanding of the regime of validity of perturbation theory for large scale structures and the nature of some non-perturbative corrections. We restrict ourselves to 1D gravitational collapse, for…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-17 Enrico Pajer , Drian van der Woude
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