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We construct two distinct actions for scalar fields that are invariant under local Carroll boosts and Weyl transformations. Conformal Carroll field theories were recently argued to be related to the celestial holography description of…

High Energy Physics - Theory · Physics 2023-04-26 Stefano Baiguera , Gerben Oling , Watse Sybesma , Benjamin T. Søgaard

This paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the…

Quantum Physics · Physics 2008-03-30 Aalok

Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

General Relativity and Quantum Cosmology · Physics 2008-02-12 Parthasarathi Majumdar

Free vector fields, satisfying the Lorenz condition, are investigated in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

A relativistic phase-space representation for a class of observables with matrix-valued Weyl symbols proportional to the identity matrix (charge-invariant observables)is proposed. We take into account the nontrivial charge structure of the…

Quantum Physics · Physics 2007-05-23 B. I. Lev , A. A. Semenov , C. V. Usenko

This paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasi-free fermionic systems. Various entropy and relative entropy measures are discussed and the calculation…

Quantum Physics · Physics 2009-11-13 B. Dierckx , M. Fannes , M. Pogorzelska

Varying the curvature, quantum phase transitions are investigated in holographic confining QFTs defined on a fixed constant positive curvature background. We find a competition between two branches of solutions and a phase transition as one…

High Energy Physics - Theory · Physics 2025-02-07 Jani Kastikainen , Elias Kiritsis , Francesco Nitti

Any two infinite-dimensional (separable) Hilbert spaces are unitarily isomorphic. The sets of all their self-adjoint operators are also therefore unitarily equivalent. Thus if all self-adjoint operators can be observed, and if there is no…

Quantum Physics · Physics 2009-11-06 A. P. Balachandran

Quantum systems are viewed as emergent systems from the fundamental degrees of freedom. The laws and rules of quantum mechanics are understood as an effective description, valid for the emergent systems and specially useful to handle…

Mathematical Physics · Physics 2025-11-26 Ricardo Gallego Torromé

We summarise highlights from an ongoing research programme that aims, in the long run, at the ambitious goal of building a realistic, complete holographic composite-Higgs model. This contribution focuses on vacuum misalignment, by showing…

High Energy Physics - Lattice · Physics 2024-11-01 Ali Fatemiabhari , Daniel Elander , Maurizio Piai

In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's Theorem. In the phase-space…

Mathematical Physics · Physics 2017-02-23 A. J. Bracken , G. Cassinelli , J. G. Wood

We study the mean-field approximation of Quantum Electrodynamics, by means of a thermodynamic limit. The QED Hamiltonian is written in Coulomb gauge and does not contain any normal-ordering or choice of bare electron/positron subspaces.…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

The structure of representations describing systems of free particles in the theory with the invariance group SO(1,4) is investigated. The property of the particles to be free means as usual that the representation describing a…

Quantum Physics · Physics 2011-03-28 Felix M. Lev

Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the…

High Energy Physics - Theory · Physics 2024-06-28 Luis F. Alday , Maria Nocchi , Romain Ruzziconi , Akshay Yelleshpur Srikant

The holographic principle and the thermodynamics of de Sitter space suggest that the total number of fundamental degrees of freedom associated with any finite-volume region of space may be finite. The naive picture of a short distance…

High Energy Physics - Theory · Physics 2009-11-11 Federico Piazza

We evaluate the vacuum entanglement entropy across a cut of future null infinity for free Maxwell theory in four-dimensional Minkowski spacetime. The Weyl invariance of 4D Maxwell theory allows us to embed the Minkowski spacetime inside the…

High Energy Physics - Theory · Physics 2025-02-11 Hong Zhe Chen , Robert C. Myers , Ana-Maria Raclariu

The global symmetry data of a $D$-dimensional absolute quantum field theory can sometimes be packaged in terms of a $(D+1)$-dimensional bulk system obtained by extending along an interval, with a relative QFT$_D$ at one end and suitable…

High Energy Physics - Theory · Physics 2025-12-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of…

High Energy Physics - Theory · Physics 2024-11-22 Jordan Cotler , Kristan Jensen , Stefan Prohazka , Max Riegler , Jakob Salzer

This work challenges the conventional notion that in spacetime dimension higher than one, a supersymmetric Lagrangian invariably consists of purely bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms. By recasting a…

High Energy Physics - Theory · Physics 2024-07-23 Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Utku Zorba

Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a null hypersurface in a Lorentzian manifold can be treated as a…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Samuel Blitz , David McNutt
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