2015/10/05 by S. A. Franchino-Viñas, Sebastián A. Franchino-Viñas, Franchino-Viñas, Sebastián A.
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1510.01387
Ph.D. thesis, in spanish, 166 pages, 8 figures. Advisor: P.A.G. Pisani. Co-advisor: H.Falomir. En español
arxiv created 2015/10/05 · openalex publication_date 2015/10/05 · arxiv updated 2015/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The objective of this Ph.D. thesis is the implementation of the Worldline Formalism in the frame of Noncommutative Quantum Field Theories. The result is a master formula for the 1-loop effective action that is applied to a number of scalar models -- among them the Grosse-Wulkenhaar model. As a byproduct we find an expression for the small propertime expansion of general nonlocal operators' Heat Kernel. As an introduction, basic notions of spectral functions, Quantum Field Theories --path integrals and renormalization by means of spectral functions-- and the Worldline Formalism for commutative theories are given.