Fetching the paper…
Reading the bibliography…
Functional determinants of differential operators play a prominent role in theoretical and mathematical physics, and in particular in quantum field theory.
W. Heisenberg and H. Euler, “Consequences of Dirac’s theory of positrons,” Z. Phys. 98
1936
Earlier work this paper cites.
J. S. Schwinger, “On gauge invariance and vacuum polarization,” Phys. Rev. 82
1951
Earlier work this paper cites.
I. M. Gelfand and A. M. Yaglom, “Integration In Functional Spaces And It Applications In Quantum Physics,” J. Math. Phys. 1
1960
Earlier work this paper cites.
J. S. Langer, “Theory Of The Condensation Point,” Annals Phys. 41
1967
Earlier work this paper cites.
J. R. Taylor, Scattering Theory
1972
Earlier work this paper cites.
M. B. Voloshin, I. Y. Kobzarev, and L. B. Okun, “Bubbles In Metastable Vacuum,” Sov. J. Nucl. Phys. 20
1974
Earlier work this paper cites.
R. F. Dashen, B. Hasslacher and A. Neveu, “Particle Spectrum In Model Field Theories From Semiclassical Functional Integral Techniques,” Phys. Rev. D 11
1975
Earlier work this paper cites.
S. Levit and U. Smilansky, “A theorem on infinite products of eigenvalues of Sturm-Liouville type operators”, Proc. Am. Math. Soc. 65
1977
Earlier work this paper cites.
B. Simon, “Notes on infinite determinants of Hilbert space operators”, Adv. Math. 24
1977
Earlier work this paper cites.
M. Stone, “The Lifetime And Decay Of ’Excited Vacuum’ States Of A Field Theory Associated With Nonabsolute Minima Of Its Effective Potential,” Phys. Rev. D 14
1977
Earlier work this paper cites.
S. R. Coleman, “The Fate Of The False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D 15
1977
Earlier work this paper cites.
T. Dreyfus and H. Dym, “Product formulas for the eigenvalues of a class of boundary value problems”, Duke Math. J. 45
1978
Earlier work this paper cites.
G. ’t Hooft, “Computation of the quantum effects due to a four-dimensional pseudoparticle,” Phys. Rev. D 14
1979
Earlier work this paper cites.
H. Hogreve, R. Schrader and R. Seiler, “A Conjecture On The Spinor Functional Determinant,” Nucl. Phys. B 142
1979
Earlier work this paper cites.
H. Osborn, “Semiclassical Functional Integrals For Selfdual Gauge Fields,” Annals Phys. 135
1981
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski and L. G. Yaffe, “QCD And Instantons At Finite Temperature,” Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
R. V. Konoplich and S. G. Rubin, “Quantum Corrections To Nontrivial Classical Solutions In Phi**4 Theory,” Yad. Fiz. 37
1983
Earlier work this paper cites.
C. Vafa and E. Witten, “Eigenvalue Inequalities For Fermions In Gauge Theories,” Commun. Math. Phys. 95
1984
Earlier work this paper cites.
L. F. Abbott and H. J. Schnitzer, “Semiclassical Bound State Methods In Four-Dimensional Field Theory: Trace Identities, Mode Sums, And Renormalization For Scalar Theories,” Phys. Rev. D 14
1984
Cited alongside, same era.
V. A. Novikov, M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, “Calculations In External Fields In Quantum Chromodynamics. Technical Review,” Fortsch. Phys. 32
1984
Cited alongside, same era.
S. R. Coleman, “The Uses Of Instantons,” in Aspects of Symmetry
1985
Cited alongside, same era.
E. D’Hoker and D. H. Phong, “On Determinants Of Laplacians On Riemann Surfaces,” Commun. Math. Phys. 104
1986
Cited alongside, same era.
A. W. Wipf, “Tunnel Determinants,” Nucl. Phys. B 269
1986
Cited alongside, same era.
G. Isidori, G. Ridolfi and A. Strumia, “On the metastability of the standard model vacuum,” Nucl. Phys. B 609
2001
Later among the works it cites.
H. Gies and K. Langfeld, “Quantum diffusion of magnetic fields in a numerical worldline approach,” Nucl. Phys. B 613
2002
Later among the works it cites.
M. P. Fry, “QED in inhomogeneous magnetic fields,” Phys. Rev. D 54
2003
Later among the works it cites.
D. V. Vassilevich, “Heat kernel expansion: User’s manual,” Phys. Rept. 388
2003
Later among the works it cites.
D. Diakonov, N. Gromov, V. Petrov and S. Slizovskiy, “Quantum weights of dyons and of instantons with non-trivial holonomy,” Phys. Rev. D 70
2004
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1987
Cited alongside, same era.
A. Voros, “ Spectral Functions, Special Functions And Selberg Zeta Function”, Commun. Math. Phys. 110
1987
Cited alongside, same era.
L. Carson, X. Li, L. D. McLerran and R. T. Wang, “Exact Computation Of The Small Fluctuation Determinant Around A Sphaleron,” Phys. Rev. D 42
1990
Cited alongside, same era.
D. Burghelea, L. Friedlander and T. Kappeler, “On the determinant of elliptic differential and finite difference operators in vector bundles over S 1 S^{1} ”, Commun. Math. Phys. 138
1991
Cited alongside, same era.
R. Forman, “ Functional determinants and geometry ”, Invent. Math. 88
1992
Cited alongside, same era.
J. Baacke, “Numerical Evaluation Of The One Loop Effective Action In Static Backgrounds With Spherical Symmetry,” Z. Phys. C 47
1992
Cited alongside, same era.
J. Baacke and S. Junker, “Quantum fluctuations around the electroweak sphaleron,” Phys. Rev. D 49
1994
Cited alongside, same era.
2004
Later among the works it cites.
K. Kirsten and A. J. McKane, “Functional determinants by contour integration methods,” Annals Phys. 308
2004
Later among the works it cites.
J. Baacke and G. Lavrelashvili, “One-loop corrections to the metastable vacuum decay,” Phys. Rev. D 69
2004
Later among the works it cites.
G. V. Dunne, “Heisenberg-Euler effective Lagrangians: Basics and extensions,” in Ian Kogan Memorial Collection, ’From Fields to Strings: Circumnavigating Theoretical Physics’
2005
Later among the works it cites.
J. S. Dowker, “Functional determinants on spheres and sectors,” J. Math. Phys. 35
2005
Later among the works it cites.
G. V. Dunne and H. Min, “Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay,” Phys. Rev. D 72
2005
Later among the works it cites.
J. C. Hackworth and E. J. Weinberg, “Oscillating bounce solutions and vacuum tunneling in de Sitter spacetime,” Phys. Rev. D 71
2005
Later among the works it cites.
G. V. Dunne, J. Hur, C. Lee and H. Min, “Instanton determinant with arbitrary quark mass: WKB phase-shift method and derivative expansion,” Phys. Lett. B 600
2005
Later among the works it cites.
Y. Burnier and M. Shaposhnikov, “One-loop fermionic corrections to the instanton transition in two dimensional chiral Higgs model,” Phys. Rev. D 72
2005
Later among the works it cites.
M. Thies, “From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram,” J. Phys. A 39
2006
Later among the works it cites.
G. V. Dunne and K. Kirsten, “Functional determinants for radial operators,” J. Phys. A 39
2006
Later among the works it cites.
G. V. Dunne and Q. h. Wang, “Fluctuations about cosmological instantons,” Phys. Rev. D 74
2006
Later among the works it cites.