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1101
Higher-form symmetries in 5d
Published 2020“…We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and ’t Hooft operators. …”
Journal article -
1102
Integrable light-cone lattice discretizations from the universal R-matrix
Published 2015“…Our goal is to develop a more general scheme for constructing integrable lattice regularisations of integrable quantum field theories. Considering the affine Toda theories as examples, we show how to construct such lattice regularisations using the representation theory of quantum affine algebras. …”
Journal article -
1103
Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices
Published 2023-01-01“…Abstract Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete zero-form global symmetries, and possibly a one-form symmetry, in 3d N $$ \mathcal{N} $$ ≥ 3 gauge theories using the superconformal index. …”
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1104
Large-<i>S</i> and Tensor-Network Methods for Strongly-Interacting Topological Insulators
Published 2022-04-01“…In this work, we exploit these connections to study the strongly-interacting limit of certain lattice Hubbard models of topological insulators, which map onto four-Fermi quantum field theories with a Wilson-type discretisation and have been recently shown to be at reach of cold-atom quantum simulators based on synthetic spin-orbit coupling. …”
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1105
A reduced inner product for kink states
Published 2023-03-01“…Abstract Solitons in classical field theories correspond to states in quantum field theories. If the spatial dimension is infinite, then momentum eigenstates are not normalizable. …”
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1106
The O(N) monolith reloaded: sum rules and Form Factor Bootstrap
Published 2024-01-01“…Abstract We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. …”
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1107
Generalized Rest Mass and Dirac’s Monopole in 5D Theory and Cosmology
Published 2021-08-01“…The latter leads one to novel connections between the general relativity and quantum field theories, and all that, including the (4+1) splitting of the 5D Ricci identities, brings about a better understanding of the magnetic monopole problem and the vital difference in the origins of the Maxwell equations and gives rise to surprising connections between them. …”
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1108
A post-Gaussian approach to dipole symmetries and interacting fractons
Published 2023-08-01“…Abstract We use a post-Gaussian variational approach to non-perturbatively study a general class of interacting bosonic quantum field theories with generalized dipole symmetries and fractonic behavior. …”
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1109
Feynman rules for forced wave turbulence
Published 2023-01-01“…Employing the path integral relation between stochastic classical field theories and quantum field theories, we give a prescription, in terms of Feynman diagrams, for computing correlation functions in this system. …”
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1110
Duality between ( 2 + 1 ) d quantum critical points
Published 2021“…Of particular interest are dualities that describe conformally invariant quantum field theories in (2+1)d. These arise as descriptions of quantum critical points in condensed matter physics. …”
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1111
Duality between ( 2 + 1 ) d quantum critical points
Published 2022“…Of particular interest are dualities that describe conformally invariant quantum field theories in (2+1)d. These arise as descriptions of quantum critical points in condensed matter physics. …”
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1112
Non-invertible symmetry webs
Published 2023-10-01“…Non-invertible symmetries have by now seen numerous constructions in higher dimensional Quantum Field Theories (QFT). In this paper we provide an in depth study of gauging 0-form symmetries in the presence of non-invertible symmetries. …”
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1113
Gaussian continuous tensor network states for simple bosonic field theories
Published 2021-04-01“…Recently, a construction of such states in the continuum was put forward, providing a first step towards the goal of solving quantum field theories (QFTs) variationally. However, the proposed manifold of continuous tensor network states (CTNSs) is difficult to study in full generality, because the expectation values of local observables cannot be computed analytically. …”
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1114
On the S-matrix of Ising field theory in two dimensions
Published 2022-10-01“…Abstract We explore the analytic structure of the non-perturbative S-matrix in arguably the simplest family of massive non-integrable quantum field theories: the Ising field theory (IFT) in two dimensions, which may be viewed as the Ising CFT deformed by its two relevant operators, or equivalently, the scaling limit of the Ising model in a magnetic field. …”
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1115
Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory
Published 2023-09-01“…Abstract Fracton phases of matter are gapped phases of matter that, by dint of their sensitivity to UV data, demand non-standard quantum field theories to describe them in the IR. Two such approaches are foliated quantum theory and exotic field theory. …”
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1116
The Physical Meaning of the Holographic Principle
Published 2022-11-01“…Further, we show that the measurements are given meaning by quantum reference frames and sequential measurements induce topological quantum field theories. Finally, we discuss principles equivalent to the holographic principle, including Markov blankets and the free-energy principle in biology, multiple realizability and virtual machines in computer science, and active inference and interface theories in cognitive science. …”
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1117
One-loop inelastic amplitudes from tree-level elasticity in 2d
Published 2023-04-01“…Abstract We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level, we derive a formula reproducing one-loop inelastic amplitudes for arbitrary numbers of external legs. …”
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1118
Analyticity properties of scattering amplitude in theories with compactified space dimensions
Published 2019-06-01“…In the context of nonrelativistic potential scattering, for R3⊗S1 spatial geometry, it was shown that the forward scattering amplitude does not satisfy analyticity for a class of potentials which might have important consequences if same attribute holds in relativistic quantum field theories. We address this issue with R3,1⊗S1 geometry. …”
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1119
Aharonov-Bohm effect for confined matter in lattice gauge theories
Published 2024-03-01“…With the advent of quantum technology, lower energy analogs, capable of capturing important features of the original quantum field theories through quantum simulation, have been intensively studied. …”
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1120
Islands for entanglement negativity
Published 2022-01-01“…We advance two alternative proposals for the island contributions to the entanglement negativity of various pure and mixed state configurations in quantum field theories coupled to semiclassical gravity. The first construction involves the extremization of an algebraic sum of the generalized Renyi entropies of order half. …”
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