Decay``, Phys. Lett. B 415, 1054 (1997).
Kimball A. Milton
George Lynn Cross Research Professor
B.S. 1967 University of Washington
Ph.D. 1971 Harvard
I am primarily interested in developing nonperturbative methods for use in quantum field theories and gauge theories. The programs under active development include analytic perturbation theory and PT symmetric theories, the latter being an alternative to conventional Hermitian quantum theories. Applications are being made to quantum electrodynamics and quantum chromodynamics. Vacuum energy phenomena (the Casimir effect) are being studied in contexts ranging from cosmological to condensed matter systems, with particular focus on aspects that may be accessible to experiment, such as thermal corrections, and on understanding the nature of divergences in such calculations. New theoretical work on magnetic monopole production and binding is being carried out in connection with a recently concluded experimental search for monopoles possibly produced at Fermilab.
K. A. Milton, P. Parashar, K. V. Shajesh, and J. Wagner, "How Does Casimir Energy Fall? II. Gravitational Acceleration of Quantum Vacuum Energy`` arXiv:0705.2611 [hep-th], submitted to J. Phys. A.
S. A. Fulling, K. A. Milton, P. Parashar, A. Romeo, K. V. Shajesh, and J. Wagner, "How Does Casimir Energy Fall?`` hep-th/0702091, submitted to Phys. Rev. Lett.
K. A. Milton, I. Cavero-Pelaez, and K. Kirsten, "Local and Global Casimir Energies in a Green's Function Approach,`` hep-th/0612299, invited talk at Marcel Grossmann 11.
K. A. Milton, ``In Appreciation Julian Schwinger: From Nuclear Physics and Quantum Electrodynamics to Source Theory and Beyond,'' arXiv:physics/0610054, Physics in Perspective 9, 70-114 (2007).
I. Cavero-Pelaez, K. A. Milton, and K. Kirsten, "Local and Global Casimir Energies for a Semitransparent Cylindrical Shell,`` hep-th/0607154, J. Phys. A: Math. Theor. 40, 3607-3631 (2007).
K. A. Milton, "Julian Schwinger (1918-1994),`` biographical sketch to appear in volume in honor of E. Majorana, ed. A. Zichichi, physics/0606153.
C. M. Bender, D. C. Brody, J.-H. Chen, H. F. Jones, K. A. Milton, and M. C. Ogilvie, "Equivalence of a Complex PT-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly,`` hep-th/0605066, Phys. Rev. D 74, 025016 (2006).
I. Brevik, S. A. Ellingsen, and K. A. Milton, "Thermal Corrections to the Casimir Effect,`` quant-ph/0605005, New Journal of Physics, 8, 236 (2006).
K. A. Milton, "Theoretical and Experimental Status of Magnetic Monopoles,`` hep-ex/0602040, Rep. Prog. Phys. 69, 1637-1711 (2006) .
C. M. Bender, J.-H. Chen, D. W. Darg, and K. A. Milton, "Classical Trajectories for Complex Hamiltonians,`` math-ph/0602040, J. Phys. A 39, 4219-38 (2006).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "An Analytic Method of Describing R-Related Quantities in QCD,`` hep-ph/0512209, Mod. Phys. Lett. A 21, 1355-1368 (2006).
C. M. Bender, J.-H. Chen, and K. A. Milton, "PT-Symmetric Versus Hermitian Formulation of Quantum Mechanics,`` hep-th/0511229, J. Phys. A 39 1657-1668 (2006).
I. Cavero-Pelaez and K. A. Milton, "Green's Dyadic Approach to the Self-Stress on a Dielectric-Diamagnetic Cylinder with Non-Uniform Speed of Light,`` hep-th/0511171, J. Phys. A (Proceedings of QFEXT05) 39, 6225-32 (2006).
A. Romeo and K. A. Milton, "Note on a Casimir Energy Calculation for a Purely Dielectric Cylinder by Mode Summation,`` J. Phys. A (Proceedings of QFEXT05), 39, 6703-10 (2006).
K. A. Milton, I. Cavero-Pelaez, and J. Wagner, "Surface Divergences and Boundary Energies in the Casimir Effect,`` hep-th/0510236, J. Phys. A (Proceedings of QFEXT05), 39, 6543-50 (2006).
K. V. Shajesh and K. A. Milton, "Quantum Mechanics Using Fradkin's Representation,`` hep-th/0510103, submitted to Am. J. Phys.
Ines Cavero-Pelaez, Kimball A. Milton, and Jeffrey Wagner, "Local Casimir Energies of a Thin Spherical Shell,`` hep-th/0508001 v3, Phys. Rev. D 73, 085004 (2006).
J. S. Hoye, I. Brevik, J. B. Aarseth, and K. A. Milton, "What is the Temperature Dependence of the Casimir Effect?`` quant-ph/0506025 v3, J. Phys. A 39, 6031-38 (2006).
August Romeo and Kimball A. Milton, "Casimir Energy for a Purely Dielectric Cylinder by the Mode Summation Method,`` hep-th/0504207, Phys. Lett. B. 621, 309 (2005)
C. M. Bender, I. Cavero-Pelaez, K. A. Milton, and K. V. Shajesh, "PT-Symmetric Quantum Electrodynamics,`` hep-th/0501180, Phys. Lett. B 613, 97-104 (2005).
I. Cavero-Pelaez and K. A. Milton, "Casimir Energy for a Dielectric Cylinder,`` hep-th/0412135, Ann. Phys. (N.Y.) 320, 108--134 (2005).
I. Brevik, J. B. Aarseth, J. S. Hoye, and K. A. Milton, "On the Temperature Dependence of the Casimir Effect,`` quant-ph/0410231, Phys. Rev. E 71, 056101 (2005) (8 pages).
K. A. Milton "Recent Developments in Quantum Vacuum Energy for Confined Fields,`` hep-th/0409239, talk at Eighth Workshop on Non-Perturbative Quantum Chromodynamics, l'Institut Astrophysique de Paris, June 2004, Int. J. Mod. Phys. A 20, 4628-4637 (2005).
K. A. Milton "The Casimir Effect: Recent Controversies and Progress,`` hep-th/0406024, invited review article, J. Phys. A. 37, R209-277 (2004).
K. A. Milton, "Finite Casimir Energies in Renormalizable Quantum Field Theory,`` hep-th/0401117, in the Proceedings of Marcel Grossmann X, Rio de Janeiro, July 2003, ed. M. Novello, S. Perez Bergliaffa, and R. Ruffini (World Scientific, Singapore, 2005), pp. 1021-1040.
K. A. Milton, "Casimir Energies and Pressures for delta-Function Potentials,`` hep-th/0401090, J. Phys. A 37, 6391-6406 (2004).
I. Brevik, J. B. Aarseth, J. S. Hoye, and K. A. Milton, "Temperature Dependence of the Casimir Force for Metals,`` hep-th/0311094, in Proceedings of the Workshop on Quantum Field Theory Under the Influence of External Conditions, Norman, Oklahoma, September 2003, ed. K. A. Milton, (Rinton Press, Princeton, NJ, 2004) pp. 54-65.
K. A. Milton, "PT-Symmetric Quantum Field Theory,`` Proceedings of the 12th International Colloquium on Quantum Groups, Prague, June 2003, hep-th/0308033, Czech. J. Phys. 53, 1069-72 (2003).
K. A. Milton, "Anomalies in PT-Symmetric Quantum Field Theory,`` Proceedings of the Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Prague, June 2003, Czech. J. Phys. 54, 85-91 (2004).
G. R. Kalbfleisch, W. Luo, K. A. Milton, E. H. Smith, and M. G. Strauss, "Limits on Production of Magnetic Monopoles Utilizing Samples from the D0 and CDF Detectors at the Fermilab Tevatron,`` hep-ex/0306045, Phys. Rev. D 69, 052002-1-18 (2004).
J. S. Hoye, I. Brevik, J. B. Aarseth, and K. A. Milton, "Does the Transverse Electric Zero Mode Contibute to the Casimir Effect for a Metal?`` quant-ph/0212125, Phys. Rev. E. 67, 056116 (2003).
I. Brevik, K. A. Milton, and S. O. Odintsov, "Entropy Bounds in Spherical Space,`` hep-th/0210286, Proceedings of the Third International Sakharov Conference on Physics, ed. A. Semikhatov, M. Vasiliev, and V. Zaikin (Scientific World, Moscow, 2003), Vol. II, p. 788-796.
K. A. Milton, "Dark Energy as Evidence for Extra Dimensions,`` invited talk at GRG11, Tomsk, Russia, July 1-7, 2002, hep-ph/0210170, Grav. Cosmol. 9, 66-70 (2003).
K. A. Milton, "Calculating Casimir Energies in Renormalizable Quantum Field Theory,`` hep-th/0210081, Phys. Rev. D 68, 065020-1--11 (2003).
N. E. Shafer-Ray, K. A. Milton, B. R. Furneaux, E. Abraham, and G. R. Kalbfleisch, "Design of a Biased Stark Trap of Molecules Moving Adiabatically in an Electric Field,`` Phys. Rev. A. 67, 045401 (2003).
I. Brevik, K. A. Milton, and S. D. Odintsov "Entropy Bounds in R x S^3 Geometries,`` Ann. Phys. 302, 120-141 (2002).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "Remark on the Perturbative Component of Inclusive Tau Decay,`` Phys. Rev. D 65, 076009 (2002).
K. . Milton, G. R. Kalbfleisch, W. Luo, and L. Gamberg, "Theoretical and Experimental Status of Magnetic Monopoles,`` invited talk at 5th Workshop on Quantum Field Theory Under the Influence of External Conditions, Int. J. Mod. Phys. A 17, 732-750 (2002).
K. A. Milton, S. D. Odintsov, and S. Zerbini, "Bulk Versus Brane Running Couplings,`` Phys. Rev. D 65, 065012 (2002).
K. A. Milton and O. P. Solovtsova, "Perturbative Expansions in the Inclusive Decay of the Tau-Lepton,`` Int. J. Mod. Phys. 17, 3789-3808 (2002).
K. A. Milton, "Constraints on Extra Dimensions from Cosmological and Terrestrial Measurements,`` Grav. Cosmol. 8 , 65-72 (2002), hep-th/0107241.
K. A. Milton, R. Kantowski, C. Kao, and Yun Wang, "Constraints on Extra Dimensions from Cosmological and Terrestrial Measurements,`` Mod. Phys. Lett. A 16, 2281 (2001).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "The Adler Function for Light Quarks in Analytic Perturbation Theory,`` Phys. Rev. D 64, 016005 (2001).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "Threshold Effects in Inclusive Tau Lepton Decay,`` Proceedings of the XV International Seminar on High Energy Physics Problems ``Relativistic Nuclear Physics and Quantum Chromodynamics'', September 25-29, 2000, Dubna, JINR, OKHEP-01-01.
Iver Brevik, K. A. Milton, Shin'ichi Nojiri, and Sergei D. Odintsov "Quantum (In)Stability of a Brane-World AdS_5 Universe at Nonzero Temperature,`` Nucl. Phys. B 599, 305 (2001).
K. A. Milton, "Dimensional and Dynamical Aspects of the Casimir Effect: Understanding the Reality and Significance of Vacuum Energy,`` Plenary talk given at the E.S. Fradkin Memorial Conference, Moscow, June 2000, in Quantization, Gauge Theory, and Strings, eds. A. Semikhatov, M. Vasiliev, and V. Zaikin (Scientific World, Moscow, 2001), pp. 333-349.
G. R. Kalbfleisch, K. A. Milton, M. G. Strauss, L. Gamberg, W. Luo, and E. H. Smith, "New Limits on the Production of Magnetic Monopoles at Fermilab,`` Proceedings of ICHEP2000, Osaka, Japan, ed. C. S. Lin and T. Yamanaka (World Scientific, Singapore, 2001), Vol. 2, pp. 1180-82, hep-ex/0009003
K. A. Milton and I. L. Solovtsov, "Relativistic Coulomb Resummation in QCD,`` Mod. Phys. Lett. A 16, 2213 (2001).
G. R. Kalbfleisch, K. A. Milton, M. G. Strauss, L. Gamberg, E. H. Smith, and W. Luo, "Improved Experimental Limits on the Production of Magnetic Monopoles`` Phys. Rev. Lett. 85, 5292 (2000).
K. A. Milton, I. Brevik, and B. Jensen "Comment on Casimir Energy for Spherical Boundaries,`` Phys. Rev. D 64, 088701 (2001).
K. A. Milton, I. Brevik, S. D. Odinstov, and K. E. Osetrin "Dynamical Casimir Effect and Quantum Cosmology,`` Phys. Rev. D 62, 064005 (2000)
K. A. Milton, I. L. Solovtsov, O. P. Solovtsova, and V. I. Yasnov "Renormalization Scheme and Higher Loop Stability in Hadronic Tau-Decay within Analytic Perturbation Theory,`` Eur. Phys. J. C 14, 495 (2000)
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova "Timelike and Spacelike QCD Characteristics of the Electron-Positron Annihilation Process,`` Eur. Phys. J. C 13, 497-502 (2000)
L. Gamberg and K. A. Milton, "Dual Quantum Electrodynamics: Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation,`` Phys. Rev. D 61 , 075013-1-19 (2000)
C. M. Bender, K. A. Milton and V. M. Savage "Solution of Schwinger-Dyson Equations for PT-Symmetric Quantum Field Theory,`` Phys. Rev. D 62, 085001 (2000).
K. A. Milton, L. Gamberg, and G. R. Kalbfleisch "Direct and Indirect Searches for Low-Mass Magnetic Monopoles,`` in Kurt Haller's Festschrift, Found. Phys. 31 543-566 (2000)
K. A. Milton, "The Casimir Effect: Physical Manifestations of Zero-Point Energy`` in Applied Field Theory, the Proceedings of the 17th Symposium on Theoretical Physics, Seoul National University, June 29-July 1, 1998, eds. C. Lee, H. Min, and Q-H. Park (Chungbum, Seoul, 1999), p. 1, hep-th/9901011.
K. A. Milton and I. L. Solovtsov, "Can the QCD Effective Charge Be Symmetrical in the Euclidean and Minkowskian Regions?`` Phys. Rev. D 59, 107701 (1999)
K. A. Milton, "Sonoluminescence and the Dynamical Casimir Effect`` in The Casimir Effect 50 Years Later , the Proceedings of the Fourth Workshop on Quantum Field Theory Under the Influence of External Conditions, ed. M. Bordag (World Scientific, Singapore, 1999), p. 92, hep-th/9811174
K. A. Milton, "Julian Schwinger and the Casimir Effect: The Reality of Zero-Point Energy`` in The Casimir Effect 50 Years Later, the Proceedings of the Fourth Workshop on Quantum Field Theory Under the Influence of External Conditions, ed. M. Bordag (World Scientific, Singapore, 1999), p. 20, hep-th/9811054
K. A. Milton, A. V. Nesterenko, and V. V. Nesterenko, "Mode-by-Mode Summation for the Zero Point Electromagnetic Energy of an Infinite Cylinder`` Phys. Rev. D 59, 105009 (1999)
Iver Brevik, V. N. Marachevsky, and K. A. Milton, "Identity of the van der Waals Force and the Casimir Effect and the Irrelevance of these Phenomena to Sonoluminescence`` Phys. Rev. Lett. 82, 3948 (1999)
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "The Gross-Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD`` Phys. Rev. D 60, 016001 (1999)
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "Analytic Perturbative Approach to QCD`` in the Proceedings of ICHEP'98, ed. A. Astbury, D. Axen, and J. Robinson (World Scientific, Singapore, 1999), p. 1608, hep-ph/9808457
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, "The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD`` Phys. Lett. B439 , 421 (1998)
C. M. Bender and K. A. Milton, "A Nonunitary Version of Massless Quantum Electrodynamics Possessing a Critical Point`` J. Phys. A 32, L87 (1999)
K.A. Milton and Y.J. Ng, "Observability of the Bulk Casimir Effect`` Phys. Rev. D 57, 5504 (1998).
K.A. Milton and O.P. Solovtsova, "Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant into the Timelike Region`` Phys. Rev. D 57, 5402 (1998).
C.M. Bender and K.A. Milton, "Model of Supersymmetric Quantum Field Theory with Broken Parity Symmetry`` Phys. Rev. D 57, 3595 (1998).
K.M. Milton and I.L. Solovtsov, "Analytic Perturbation Theory in QCD and Schwinger's Connection Between the Beta-Function and the Spectral Density`` Phys. Rev. D 55, 5295 (1997).
K.A. Milton, I.L. Solovstov and O.P. Solovtsova, "Analytic Perturbation
Theory and Inclusive Decay``, Phys. Lett. B 415, 1054 (1997).
K.M. Milton, "Vector Casimir Effect for a D-Dimensional Sphere``, Phys. Rev. D 55, 4940 (1997).
C.M. Bender and K.M. Milton, "Nonperturbative Calculation of Symmetry Breaking in Quantum Field Theory``, Phys. Rev. D 55, R3255 (1997).