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We develop a framework to simulate quantum field theories (QFTs) with boundaries in $(1+1)$-dimenmsional curved spacetimes by employing open spin systems. Building upon our previous work that established a mapping from spin systems to QFTs…

High Energy Physics - Theory · Physics 2026-02-23 Shunichiro Kinoshita , Keiju Murata , Daisuke Yamamoto , Ryosuke Yoshii

We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constructive quantum field theory in a nonperturbative way. To this end, we use the technique of evolution semigroups to prove a new result on…

Mathematical Physics · Physics 2007-05-23 Tobias Schlegelmilch

The recent construction and analysis of deformations of quantum field theories by warped convolutions is extended to a class of curved spacetimes. These spacetimes carry a family of wedge-like regions which share the essential causal…

Mathematical Physics · Physics 2011-05-18 Claudio Dappiaggi , Gandalf Lechner , Eric Morfa-Morales

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

We unveil the mechanism for the formation of puzzled boundary-localized bound states in a spinless fermionic open lattice with nearest-neighbor interactions. By solving the Bethe-ansatz equation analytically, we uncover asymmetrical string…

Quantum Gases · Physics 2025-05-30 Yanxia Liu , Shu Chen

In non-diagonal conformal models, the boundary fields are not directly related to the bulk spectrum. We illustrate some of their features by completing previous work of Lewellen on sewing constraints for conformal theories in the presence…

High Energy Physics - Theory · Physics 2009-10-30 Gianfranco Pradisi , Augusto Sagnotti , Yassen S. Stanev

Localized bulk excitations in AdS/CFT are produced by operators which modify the pattern of entanglement in the boundary state. We show that simple models--consisting of entanglement swapping operators acting on a qubit system or a free…

High Energy Physics - Theory · Physics 2017-04-05 William R. Kelly

The expectation values of local fields of any interacting quantum theory after a quench process are key quantities for matching theoretical and experimental results. For quantum integrable field theories, we argue that they can be obtained…

Statistical Mechanics · Physics 2013-08-22 Giuseppe Mussardo

We study the ground state energy of integrable $1+1$ quantum field theories with boundaries (the genuine Casimir effect). In the scalar case, this is done by introducing a new, ``R-channel TBA'', where the boundary is represented by a…

High Energy Physics - Theory · Physics 2010-01-07 A. LeClair , G. Mussardo , H. Saleur , S. Skorik

Recent developments have highlighted the potential of quantum spin models to realize the phenomenology of confinement leading to the formation of bound states such as mesons. In this work we show that Ising chains also provide a platform to…

Quantum Gases · Physics 2020-11-24 P. I. Karpov , G. -Y. Zhu , M. P. Heller , M. Heyl

It is well known that (possibly non-unique) suitable field dynamics can be prescribed in spacetimes with timelike boundaries by means of appropriate boundary conditions. In Ref. [J. Math. Phys. {\bf 21}, 2802 (1980)], Wald derived a…

High Energy Physics - Theory · Physics 2025-06-23 Bruno S. Felipe , João P. M. Pitelli

The Lieb-Robinson theorem states that locality is approximately preserved in the dynamics of quantum lattice systems. Whenever one has finite-dimensional constituents, observables evolving in time under a local Hamiltonian will essentially…

Quantum Physics · Physics 2010-03-03 M. Cramer , A. Serafini , J. Eisert

Integrable boundary conditions are studied for critical A-D-E and general graph-based lattice models of statistical mechanics. In particular, using techniques associated with the Temperley-Lieb algebra and fusion, a set of boundary…

High Energy Physics - Theory · Physics 2015-06-25 Roger E. Behrend , Paul A. Pearce

The boundary modes of one dimensional quantum systems can play host to a variety of remarkable phenomena. They can be used to describe the physics of impurities in higher dimensional systems, such as the ubiquitous Kondo effect or can…

Strongly Correlated Electrons · Physics 2020-02-24 Colin Rylands

We present a construction of the Wigner function for a bosonic quantum field theory that has well-defined ultraviolet (UV) and infrared (IR) properties. Our construction uses the local mode formalism in algebraic quantum field theory that…

Quantum Physics · Physics 2023-06-01 Erickson Tjoa

Soliton time-delays and the semiclassical limit for soliton S-matrices are calculated for non-simply laced Affine Toda Field Theories. The phase shift is written as a sum over bilinears on the soliton conserved charges. The results apply to…

High Energy Physics - Theory · Physics 2008-11-26 Marco A. C. Kneipp

Just like the weakly interacting QED can support non-perturbative phenomena, like atoms, so can the weak and Higgs interactions. Especially, there are strong field-theoretical arguments that only bound states can be the (quasi-)asymptotic…

High Energy Physics - Lattice · Physics 2013-08-07 Axel Maas , Tajdar Mufti

The massless bosonic field compactified on the circle of rational $R^2$ is reexamined in the presense of boundaries. A particular class of models corresponding to $R^2=\frac{1}{2k}$ is distinguished by demanding the existence of a…

High Energy Physics - Theory · Physics 2011-07-19 Ioannis Smyrnakis

In this paper, we study twist deformed quantum field theories obtained by combining the Wightman axiomatic approach with the idea of spacetime noncommutativity. We prove that the deformed fields with deformation parameters of opposite sign…

Mathematical Physics · Physics 2015-01-22 Michael A. Soloviev

The bound state generating functional is constructed in gauge theories. This construction is based on the Dirac Hamiltonian approach to gauge theories, the Poincar\'e group classification of fields and their nonlocal bound states, and the…

High Energy Physics - Theory · Physics 2011-12-30 A. Yu. Cherny , A. E. Dorokhov , Nguyen Suan Han , V. N. Pervushin , V. I. Shilin