Zobrazeno 1 - 10
of 604
pro vyhledávání: '"Szabo, Richard"'
Autor:
Ćirić, Marija Dimitrijević, Nikolić, Biljana, Radovanović, Voja, Szabo, Richard J., Trojani, Guillaume
We formulate scalar electrodynamics in the braided $L_\infty$-algebra formalism and study its perturbative expansion in the algebraic framework of Batalin-Vilkovisky quantization. We confirm that UV/IR mixing is absent at one-loop order in this nonco
Externí odkaz:
http://arxiv.org/abs/2408.14583
Autor:
Bogdanović, Djordje, Ćirić, Marija Dimitrijević, Radovanović, Voja, Szabo, Richard J., Trojani, Guillaume
We formulate scalar field theories in a curved braided $L_\infty$-algebra formalism and analyse their correlation functions using Batalin-Vilkovisky quantization. We perform detailed calculations in cubic braided scalar field theory up to two-loop or
Externí odkaz:
http://arxiv.org/abs/2406.02372
Given a homomorphism $\tau$ from a suitable finite group $\mathsf{\Gamma}$ to $\mathsf{SU}(4)$ with image $\mathsf{\Gamma}^\tau$, we construct a cohomological gauge theory on a noncommutative resolution of the quotient singularity $\mathbb{C}^4/\math
Externí odkaz:
http://arxiv.org/abs/2405.14792
Autor:
Santilli, Leonardo, Szabo, Richard J.
We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the meaning of
Externí odkaz:
http://arxiv.org/abs/2403.03119
Autor:
Szabo, Richard J.
We discuss how Moyal deformations of gauge theories, which arise naturally from open string theory, fit into the paradigm of colour-kinematics duality and the double copy of gauge theory to gravity. Along the way we encounter novel noncommutative sca
Externí odkaz:
http://arxiv.org/abs/2401.16283
Autor:
Schupp, Peter, Szabo, Richard J.
We develop a version of quantum mechanics that can handle nonassociative algebras of observables and which reduces to standard quantum theory in the traditional associative setting. Our algebraic approach is naturally probabilistic and is based on us
Externí odkaz:
http://arxiv.org/abs/2311.03647
We develop a new approach to T-duality based on Courant algebroid relations which subsumes the usual T-duality as well as its various generalisations. Starting from a relational description for the reduction of exact Courant algebroids over foliated
Externí odkaz:
http://arxiv.org/abs/2308.15147
We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative $U(1)$ gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we interpret
Externí odkaz:
http://arxiv.org/abs/2308.07406
Autor:
Szabo, Richard J., Trojani, Guillaume
We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour symmetries
Externí odkaz:
http://arxiv.org/abs/2306.12175
We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided $L_\infty$-structures and the Batalin-Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its
Externí odkaz:
http://arxiv.org/abs/2304.14073