Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Ruba, Błażej"'
Autor:
Ferdyan, Jan, Ruba, Błażej
We compute amplitudes for the process $g^* g^* \to q \overline q V^*$ (two virtual gluons into a quark, antiquark and a boson) at the tree level using the spinor-helicity formalism. The resulting analytic expressions are much shorter than squared amp
Externí odkaz:
http://arxiv.org/abs/2406.02445
We study completely positive and trace-preserving equivariant maps between operators on irreducible representations of $\mathrm{SU}(2)$. We find asymptotic approximations of channels in the limit of large output representation and we compute traces o
Externí odkaz:
http://arxiv.org/abs/2404.04133
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. However, for any dimension there exists a natural family of function
Externí odkaz:
http://arxiv.org/abs/2403.17583
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 2-body potential with strength scaled in an $N$-dependent way as $N^{-\alpha}v$, where $\alpha\in \mathbb R$ and $v$
Externí odkaz:
http://arxiv.org/abs/2402.08490
Autor:
Hadasz, Leszek, Ruba, Błażej
We construct highest weight vectors of ${\widehat{\mathfrak{sl}_2}}_{,k+1} \oplus \mathsf{Vir}$ in tensor products of highest weight modules of ${\widehat{\mathfrak{sl}_2}}_{,k}$ and ${\widehat{\mathfrak{sl}_2}}_{,1}$, and thus for generic weights we
Externí odkaz:
http://arxiv.org/abs/2312.14695
Publikováno v:
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 then applied to Macdonald and Gegenbauer functions, which are eigenfunctions of the Bessel, resp. Gegenbauer operators. The computed
Externí odkaz:
http://arxiv.org/abs/2311.03135
We compute bilinear integrals involving Macdonald and Gegenbauer functions. These integrals are convergent only for a limited range of parameters. However, when one uses generalized integrals they can be computed essentially without restricting the p
Externí odkaz:
http://arxiv.org/abs/2304.06515
Autor:
Ruba, Blazej, Yang, Bowen
We study translationally invariant Pauli stabilizer codes with qudits of arbitrary, not necessarily uniform, dimensions. Using homological methods, we define a series of invariants called charge modules. We describe their properties and physical mean
Externí odkaz:
http://arxiv.org/abs/2204.06023
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 Field Theory introduced by Yetter. We discuss a common generalisation
Externí odkaz:
http://arxiv.org/abs/2109.12097
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 site matches the coordination number modulo two. If this condition is
Externí odkaz:
http://arxiv.org/abs/2107.06335