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Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein's field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime…

Quantum Physics · Physics 2015-01-22 Martin Ringbauer , Matthew A. Broome , Casey R. Myers , Andrew G. White , Timothy C. Ralph

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano

In this work we report on a new bootstrap method for quantum mechanical problems that closely mirrors the setup from conformal field theory (CFT). We use the equations of motion to develop an analogue of the conformal block expansion for…

High Energy Physics - Theory · Physics 2023-04-26 Colin Oscar Nancarrow , Yuan Xin

The observed large-scale structure in our Universe is seen as a result of quantum fluctuations amplified by spacetime evolution. This, and related problems in cosmology, asks for an understanding of the quantum fields of the standard model…

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

Quantum Physics · Physics 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

In this overview article we present a formalism suitable for constructing models of QFT's on curved spacetimes. The leading principle is the emphasis on local properties. It turns out that this requires a reformulation of the standard QFT…

Mathematical Physics · Physics 2020-07-27 Klaus Fredenhagen , Katarzyna Rejzner

We study the problem of the boundary conditions in the numerical simulation of closed and open quantum systems, described by a Schr\"odinger equation. On one hand, we show that a closed quantum system is defined by local boundary…

Quantum Physics · Physics 2026-02-17 Marco Patriarca

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that…

High Energy Physics - Theory · Physics 2025-07-29 Kohki Kawabata , Tatsuma Nishioka , Takuya Okuda , Shinichiro Yahagi

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Romeo Brunetti , Klaus Fredenhagen

We study two-dimensional classically integrable field theory with independent boundary condition on each end, and obtain three possible generating functions for integrals of motion when this model is an ultralocal one. Classically…

High Energy Physics - Theory · Physics 2008-11-26 Yi-Xin Chen , Xu-Dong Luo , Ke Wu

Determining how boundary terms behave in a quantum field theory (QFT) is crucial for understanding the dynamics of the theory. Nevertheless, boundary terms are often neglected using classical-type arguments which are no longer justified in…

High Energy Physics - Theory · Physics 2014-11-27 Peter Lowdon

Exploring potential empirical manifestations of quantum gravity is a challenging pursuit. In this study, we utilise a lattice representation of a (2+1)D massive gravity toy model interacting with Dirac fermions that can support specific…

Quantum Physics · Physics 2026-04-24 Jiannis K. Pachos , Patricio Salgado-Rebolledo , Martine Schut

The concept of a "space of quantum field theories" or "theory space" was set out in the 1970's in work of Wilson, Friedan and others. This structure should play an important role in organizing and classifying QFTs, and in the study of the…

High Energy Physics - Theory · Physics 2015-03-17 Michael R. Douglas

We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular…

Mathematical Physics · Physics 2013-02-19 Andreas Raab

We advocate that the dual picture of spacetime noncommutativity , i.e. the existence of a curved momentum space, could be a way out to solve some of the open conceptual problems in the field, such as the basis dependence of observables. In…

General Physics · Physics 2025-12-10 S. A. Franchino-Viñas

We introduce a framework to model the evolution of a class of open quantum systems whose environments periodically undergo an instantaneous non-unitary evolution stage. For the special case of quadratic models, we show how this approach can…

Quantum Physics · Physics 2020-12-09 J. P. P. Vieira , A. Lazarides , T. Ala-Nissila

The worldline approach to Quantum Field Theory (QFT) allows to efficiently compute several quantities, such as one-loop effective actions, scattering amplitudes and anomalies, which are linked to particle path integrals on the circle. A…

High Energy Physics - Theory · Physics 2018-11-07 Olindo Corradini , Maurizio Muratori

We present an introduction to Group Field Theory models, motivating them on the basis of their relationship with discretized BF models of gravity. We derive the Feynmann rules and compute quantum corrections in the coherent states basis.

General Relativity and Quantum Cosmology · Physics 2011-05-18 Patrizia Vitale

Quantum simulation is a rapidly evolving tool with great potential for research at the frontiers of physics, and is particularly suited to be used in computationally intensive lattice simulations, such as problems with non-equilibrium. In…

Quantum Physics · Physics 2025-11-21 Jia-Qi Gong , Ji-Chong Yang