Search Results - "Ruba, Błażej"
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1
Airy Structures for Semisimple Lie Algebras
Published in Communications in mathematical physics (01-08-2021)“…We give a complete classification of Airy structures for finite-dimensional simple Lie algebras over C , and to some extent also over R , up to isomorphisms…”
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2
Dynamical generalization of Yetter’s model based on a crossed module of discrete groups
Published in The journal of high energy physics (01-03-2021)“…A bstract We construct a lattice model based on a crossed module of possibly non-abelian finite groups. It generalizes known topological quantum field…”
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3
Nilpotent symmetries as a mechanism for Grand Unification
Published in The journal of high energy physics (01-05-2021)“…A bstract In the classic Coleman-Mandula no-go theorem which prohibits the unification of internal and spacetime symmetries, the assumption of the existence of…”
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4
Satisfying positivity requirement in the Beyond Complex Langevin approach
Published in EPJ Web of Conferences (01-01-2018)“…The problem of finding a positive distribution, which corresponds to a given complex density, is studied. By the requirement that the moments of the positive…”
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Journal Article Conference Proceeding -
5
Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
Published in Annales Henri Poincaré (2024)“…We study massless one-dimensional Dirac–Coulomb Hamiltonians, that is, operators on the half-line of the form D ω , λ : = - λ + ω x - ∂ x ∂ x - λ - ω x . We…”
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Super Quantum Airy Structures
Published in Communications in mathematical physics (2020)“…We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum…”
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Point Potentials on Euclidean Space, Hyperbolic Space and Sphere in Any Dimension
Published in Annales Henri Poincaré (17-10-2024)“…Abstract In dimensions $$d=1,2,3$$ d = 1 , 2 , 3 , the Laplacian can be perturbed by a point potential. In higher dimensions, the Laplacian with a point…”
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8
Explicit positive representation for complex weights on Rd
Published in EPJ Web of Conferences (01-01-2018)“…It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on…”
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Conference Proceeding Journal Article -
9
Homological Invariants of Pauli Stabilizer Codes
Published in Communications in mathematical physics (01-05-2024)“…We study translationally invariant Pauli stabilizer codes with qudits of arbitrary, not necessarily uniform, dimensions. Using homological methods, we define a…”
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10
Analyticity of the free energy for quantum Airy structures
Published 09-06-2019“…It is shown that the free energy associated to a finite dimensional Airy structure is an analytic function at each finite order of the $\hbar$ expansion…”
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11
Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension
Published 05-07-2022“…We study massless 1-dimensional Dirac-Coulomb Hamiltonians, that is, operators on the half-line of the form…”
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12
Generalized integrals and point interactions
Published 06-11-2023“…J. Phys.: Conf. Ser. 2667 012071 (2023) First we recall a method of computing scalar products of eigenfunctions of a Sturm-Liouville operator. This method is…”
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13
Bosonization based on Clifford algebras and its gauge theoretic interpretation
Published 31-10-2020“…We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its…”
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14
Bosonization of Majorana modes and edge states
Published 22-11-2021“…We present a bosonization procedure which replaces fermions with generalized spin variables subject to local constraints. It requires that the number of…”
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15
Dynamics of a lattice 2-group gauge theory model
Published 20-05-2021“…We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are…”
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16
Dynamical generalization of Yetter's model based on a crossed module of discrete groups
Published 02-10-2020“…We construct a dynamical lattice model based on a crossed module of possibly non-abelian finite groups. Its degrees of freedom are defined on links and…”
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Journal Article -
17
Ground State Energy of Dense Gases of Strongly Interacting Fermions
Published in Annales Henri Poincaré (05-11-2024)“…Abstract We study the ground state energy of a gas of N fermions confined to a unit box in d dimensions. The particles interact through a two-body potential…”
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Journal Article -
18
Satisfying positivity requirement in the Beyond Complex Langevin approach
Published 13-10-2017“…The problem of finding a positive distribution, which corresponds to a given complex density, is studied. By the requirement that the moments of the positive…”
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Journal Article -
19
Explicit positive representation for complex weights on R d
Published in EPJ Web of conferences (2018)“…It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on…”
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Journal Article -
20
Spinor-helicity calculation of the $g^ g^ \to q\overline{q} V^$ amplitude at the tree level
Published 04-06-2024“…Acta Phys. Pol. B 55, 9-A2 (2024) We compute amplitudes for the process $g^* g^* \to q \overline q V^*$ (two virtual gluons into a quark, antiquark and a…”
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