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Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes

open access: yesSciPost Physics Lecture Notes, 2022
These lecture notes from the 2019 Les Houches Summer School on Quantum Information Machines provides a pedagogical introduction to the theory of non-reciprocal quantum interactions and devices.
Aashish A. Clerk
doaj   +1 more source

Non-Abelian Gauge Theories with Composite Fields in the Background Field Method

open access: yesUniverse, 2022
Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green’s functions for a Yang–Mills theory with composite and background fields are introduced, including the generating functional of ...
Pavel Yur’evich Moshin   +2 more
doaj   +1 more source

The theory of symmetric tensor field: From fractons to gravitons and back

open access: yesPhysics Letters B, 2022
We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter.
Alberto Blasi, Nicola Maggiore
doaj   +1 more source

Quantum Field Theory Anomalies in Condensed Matter Physics

open access: yesSciPost Physics Lecture Notes, 2022
We give a pedagogical introduction to quantum anomalies, how they are calculated using various methods, and why they are important in condensed matter theory. We discuss axial, chiral, and gravitational anomalies as well as global anomalies.
R. Arouca, Andrea Cappelli, T. H. Hansson
doaj   +1 more source

On the Role of Constraints and Degrees of Freedom in the Hamiltonian Formalism

open access: yesUniverse, 2023
Unfortunately, the Hamiltonian mechanics of degenerate Lagrangian systems is usually presented as a mere recipe of Dirac, with no explanation as to how it works.
Alexey Golovnev
doaj   +1 more source

Quantum elliptic Calogero-Moser systems from gauge origami

open access: yesJournal of High Energy Physics, 2020
We systematically study the interesting relations between the quantum elliptic Calogero-Moser system (eCM) and its generalization, and their corresponding supersymmetric gauge theories.
Heng-Yu Chen, Taro Kimura, Norton Lee
doaj   +1 more source

Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories

open access: yesPhysics Letters B, 2020
We study the Gribov problem in four-dimensional topological Yang-Mills theories following the Baulieu-Singer approach in the (anti-)self-dual Landau gauges.
D. Dudal   +7 more
doaj   +1 more source

Stueckelberg and Higgs Mechanisms: Frames and Scales

open access: yesUniverse, 2022
We consider Yang–Mills theory with a compact gauge group G on Minkowski space R3,1 and compare the introduction of masses of gauge bosons using the Stueckelberg and Higgs mechanisms.
Alexander D. Popov
doaj   +1 more source

Conundrum for the free energy of a holonomous gluonic plasma at cubic order

open access: yesPhysics Letters B, 2020
We compute the term ∼g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of ...
Christiaan P. Korthals Altes   +3 more
doaj   +1 more source

A geometric recipe for twisted superpotentials

open access: yesJournal of High Energy Physics, 2021
We give a pedagogical introduction to spectral networks and abelianization, as well as their relevance to N $$ \mathcal{N} $$ = 2 supersymmetric field theories in four dimensions.
Lotte Hollands   +2 more
doaj   +1 more source

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