Toy Models for Quantum Field Theory
, 2018 In order to better understand quantum field theory we present some toy models on finite dimensional Hilbert spaces. We discuss how these models converge to a discrete spacetime version of quantum field theory. We first define toy fermion, boson and mixed fermion-boson free quantum fields.
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Bukhvostov–Lipatov model and quantum-classical duality
Nuclear Physics B, 2018 The Bukhvostov–Lipatov model is an exactly soluble model of two interacting Dirac fermions in 1+1 dimensions. The model describes weakly interacting instantons and anti-instantons in the O(3) non-linear sigma model. In our previous work [arXiv:1607.04839]
Vladimir V. Bazhanov +2 more
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Boundary quantum field theories perturbed by TT‾: Towards a form factor program
Nuclear Physics BOur understanding of irrelevant perturbations of integrable quantum field theories has greatly expanded over the last decade. In particular, we know that, from a scattering theory viewpoint at least, their effect is realised as a modification the two ...
Olalla A. Castro-Alvaredo +2 more
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Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
, 2005 In this paper we deal with the issue of Lorentz symmetry breaking in quantum field theories formulated in a non-commutative space-time. We show that, unlike in some recente analysis of quantum gravity effects, supersymmetry does not protect the theory ...
A. F. Ferrari +5 more
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Photon masses in the landscape and the swampland
Journal of High Energy Physics, 2019 In effective quantum field theory, a spin-1 vector boson can have a technically natural small mass that does not originate from the Higgs mechanism. For such theories, which may be written in Stückelberg form, there is no point in field space at which ...
Matthew Reece
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Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation [PDF]
, 1997 The Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affine Lie algebra) of the WZW model, while the Einstein equations of the general non-linear sigma model ...
de Boer, J., Halpern, M. B.
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Exact form factors for the scaling Z{N}-Ising and the affine A{N-1}-Toda quantum field theories
, 2003 Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi fields $\sigma_{Q}
Acerbi +31 more
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Quantum simulation with gauge fixing: From Ising lattice gauge theory to dynamical flux model
Physical Review ResearchQuantum simulation of synthetic dynamic gauge field has attracted much attentions in recent years. There are two traditional ways to simulate gauge theories.
Junsen Wang, Xiangxiang Sun, Wei Zheng
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Quantum dynamics of the effective field theory of the Calogero-Sutherland model
Nuclear Physics BWe consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of ...
Federico L. Bottesi, Guillermo R. Zemba
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Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context
, 2000 Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian) Hamiltonian quantum theory starting from a measure on the space of (Euclidean) histories of a scalar quantum field.
Abhay Ashtekar +35 more
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