17 citations · 82 across the 22 of their papers we have counts for
24 papers
Poincaré Duality and Quadratic Refinements over Laurent Rings
Błażej Ruba, Bowen Yang
We develop a Poincaré duality theory for defects of nondegenerate sesquilinear pairings over Laurent polynomial rings. A key ingredient is a novel flat resolution of the character…
Random field approximation and local counting statistics for the weakly interacting thermal Bose gas
Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba
We study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the exp…
Witt Groups and Bulk-Boundary Correspondence for Stabilizer States
Błażej Ruba, Bowen Yang
We establish a bulk--boundary correspondence for translation-invariant stabilizer states in arbitrary spatial dimension, formulated in the framework of modules over Laurent polynom…
Optimal Remainder Estimates in the Quantization of Complex Projective Spaces
Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej
We study Berezin-Toeplitz quantization of complex projective spaces and obtain full asymptotic expansions of the Berezin transformation and of products of Toepl…
Spinor-helicity calculation of the amplitude at the tree level
Jan Ferdyan, Błażej Ruba
We compute amplitudes for the process (two virtual gluons into a quark, antiquark and a boson) at the tree level using the spinor-helicity formalism…
SU(2)-equivariant quantum channels: semiclassical analysis
Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej
We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of . We find asymptotic approximations of channe…
Point potentials on Euclidean space, hyperbolic space and sphere in any dimension
Jan Dereziński, Christian Gaß, Błażej Ruba
In dimensions d= 1, 2, 3 the Laplacian can be perturbed by a point potential. In higher dimensions the Laplacian with a point potential cannot be defined as a self-adjoint operator…
Ground state energy of dense gases of strongly interacting fermions
Søren Fournais, Błażej Ruba, Jan Philip Solovej
We study the ground state energy of a gas of fermions confined to a unit box in dimensions. The particles interact through a 2-body potential with strength scaled in an …
Decomposition of highest weight representations for generic level and equivalence between two dimensional CFT models
Leszek Hadasz, Błażej Ruba
We construct highest weight vectors of in tensor products of highest weight modules of a…
Generalized integrals and point interactions
Jan Dereziński, Christian Gaß, Błażej Ruba
First we recall a method of computing scalar products of eigenfunctions of a Sturm-Liouville operator. This method is then applied to Macdonald and Gegenbauer functions, which are…
Generalized integrals of Macdonald and Gegenbauer functions
Jan Dereziński, Christian Gaß, Błażej Ruba
We compute bilinear integrals involving Macdonald and Gegenbauer functions. These integrals are convergent only for a limited range of parameters. However, when one uses generalize…
Study of a lattice 2-group gauge model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
Gauge theories admit a generalisation in which the gauge group is replaced by a finer algebraic structure, known as a 2-group. The first model of this type is a Topological Quantum…
Bosonization of Majorana modes and edge states
Arkadiusz Bochniak, Błażej Ruba, Jacek Wosiek
We present a bosonization procedure which replaces fermions with generalized spin variables subject to local constraints. It requires that the number of Majorana modes per lattice…
Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension
Jan Dereziński, Błażej Ruba
We study massless 1-dimensional Dirac-Coulomb Hamiltonians, that is, operators on the half-line of the form $D_{ω,λ}:=\begin{bmatrix}-\frac{λ+ω}{x}&-\partial_x \\ \partial_x & -\fr…
Dynamics of a lattice 2-group gauge theory model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
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 associated both to links…
Dynamical generalization of Yetter's model based on a crossed module of discrete groups
Arkadiusz Bochniak, Leszek Hadasz, Błażej Ruba
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 plaquettes, while gauge tran…
Constraints of kinematic bosonization in two and higher dimensions
Arkadiusz Bochniak, Blazej Ruba, Jacek Wosiek +1
Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a g…
Bosonization based on Clifford algebras and its gauge theoretic interpretation
Arkadiusz Bochniak, Błażej Ruba
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 interpretation in terms o…
Airy structures for semisimple Lie algebras
L. Hadasz, B. Ruba
We give a complete classification of Airy structures for finite-dimensional simple Lie algebras over , and to some extent also over , up to isomorphisms and g…
Super Quantum Airy Structures
Vincent Bouchard, Paweł Ciosmak, Leszek Hadasz +3
We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can…
Analyticity of the free energy for quantum Airy structures
Błażej Ruba
It is shown that the free energy associated to a finite dimensional Airy structure is an analytic function at each finite order of the expansion. Semiclassical series itsel…
Simulations of gaussian systems in Minkowski time
Błażej Ruba, Jacek Wosiek
Many research programs aiming to deal with the sign problem were proposed since the advent of lattice field theory. Several of these try to achieve this by exploiting properties of…
Beyond Complex Langevin Equations: a Progress Report
Jacek Wosiek, Blazej Ruba
After a short review of one of proposals to avoid complex stochastic processes in Complex Langevin studies, the recent progress in the former is reported. In particular, the new de…
Explicit positive representation for weights on
Błażej Ruba, Adam Wyrzykowski
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 complexified space. Thi…