On perturbation theory for regularized determinants of differential operators

DOI10.1007/BF01214660zbMath0518.58038OpenAlexW2089739367MaRDI QIDQ1054052

Ricardo Enrique Gamboa Saravi, Jorge Eduardo Solomin, María Amelia Muschietti

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01214660

zbMATH Keywords

gauge fieldsmeromorphic functionregularization procedurefermionszeta function regularizationchiral transformationselliptic invertible operator

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of manifolds of mappings to the sciences (58D30) Pseudodifferential and Fourier integral operators on manifolds (58J40) Hurwitz and Lerch zeta functions (11M35)

Related Items (9)

Chiral symmetry and functional integral ⋮ On the quotient of the regularized determinant of two elliptic operators ⋮ Effective actions with vector-axial-vector couplings on Riemann–Cartan manifolds ⋮ Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in \(\mathrm{AdS}_{5} \times S^5\) ⋮ The derivation of the regularized chiral Jacobian using the zeta function method ⋮ The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities ⋮ On the regularized determinant for non-invertible elliptic operators ⋮ Holomorphic maps from compact manifolds into loop groups as Blaschke products ⋮ Axial anomaly and index theorem for Dirac-Kähler fermions

Cites Work

• Zeta function regularization of path integrals in curved spacetime
• On the heat equation and the index theorem
• SOME NOTES ON REPRESENTATIONS OF THE COMMUTATION RELATIONS

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