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Dynamical localization transition in the non-Hermitian lattice gauge theory
Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding...
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Tree level integrability in 2d quantum field theories and affine Toda models
We investigate the perturbative integrability of massive (1+1)-dimensional bosonic quantum field theories, focusing on the conditions for them to...
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Aspects of scaling and scalability for flow-based sampling of lattice QCD
Recent applications of machine-learned normalizing flows to sampling in lattice field theory suggest that such methods may be able to mitigate...
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Lattice Field Theory
The purpose of this chapter is to introduce the basic idea of the lattice formalism. First, we review the quantization via the Feynman path integral....
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Topological Concepts in Gauge Theories
In these lecture notes, an introduction to topological concepts and methods in studies of gauge field theories is presented. The three paradigms of...
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Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics
Sampling from known probability distributions is a ubiquitous task in computational science, underlying calculations in domains from linguistics to...
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Anomaly of subsystem symmetries in exotic and foliated BF theories
We study the mixed ’t Hooft anomaly of the subsystem symmetries in the exotic BF theory and the foliated BF theory in 2+1 dimensions, both of which...
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Taming the landscape of effective theories
We introduce a generalized notion of finiteness that provides a structural principle for the set of effective theories that can be consistently...
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Phi4tools: compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
Scalar field theories with quartic interactions are of central interest in the study of second-order phase transitions. For three-dimensional...
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On General Theories on the Momentum Space
AbstractA short historical review of the development of the theories on a curved momentum space is presented, together with the conceptual issues...
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Aspects of entanglement in non-local field theories with fractional Laplacian
In recent years, various aspects of theoretical models with long range interactions have attracted attention, ranging from out-of-time-ordered...
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Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel
The complex Langevin (CL) method is a promising approach to overcome the sign problem that occurs in real-time formulations of quantum field...
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Realistic scheme for quantum simulation of \({{\mathbb{Z}}}_{2}\) lattice gauge theories with dynamical matter in (2 + 1)D
Gauge fields coupled to dynamical matter are ubiquitous in many disciplines of physics, ranging from particle to condensed matter physics, but their...
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Chiral soliton lattice at next-to-leading order
We compute the free energy of the chiral soliton lattice state in quantum chromodynamics (QCD) at nonzero baryon chemical potential, temperature and...
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Investigating two-dimensional adjoint QCD on the lattice
We present our investigations of SU( N ) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter...
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Chiral Soliton Lattice turns into 3D crystal
Chiral perturbation theory predicts the chiral anomaly to induce a so-called Chiral Soliton Lattice at sufficiently large magnetic fields and baryon...
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Anomalous dimensions in hypercubic theories
We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes...
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QCD Effects in Non-QCD Theories
It is shown that, in some non-QCD theories, there are effects shared by QCD: (i) in SU(2) Yang–Mills theory containing a nonlinear spinor field,...
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Vector-like symmetries and parity conservation in gauge theories with Yukawa couplings
Non-perturbative results in QCD-like theories can be derived employing positivity of the Euclidean path integral measure, as pioneered by Weingarten,...
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Gauge Field Marginal of an Abelian Higgs Model
We study the gauge field marginal of an Abelian Higgs model with Villain action defined on a 2D lattice in finite volume. Our first main result,...
