George Lynn Cross Research Professor, Emeritus
The interactions that give rise to the structure of atoms, nuclei, and elementary particles are described by quantum gauge field theories. These gauge theories are Abelian in the case of electrodynamics (photons do not interact with each other), and are non-Abelian in the case of weak and strong nuclear interactions (gluons, for example, couple directly with each other). These theories are mostly understood in the weak-coupling regime, where perturbation theory may be applied, which contradicts the essentially strong interaction of the subnuclear force.
I am primarily interested in developing nonperturbative methods for use in quantum field theories and gauge theories. In the past I have worked on the quantum finite-element lattice method, variational perturbation theory, the delta or logarithmic expansion, and analytic perturbation theory. Recently, I have been developing an alternative to conventional Hermitian quantum theories, where symmetry under the combination of space and time reflection is used in place of mathematical Hermiticity to define a unitary theory. These ideas are being applied to quantum electrodynamics and quantum chromodynamics. My present work largely focuses on quantum vacuum energy phenomena (Casimir effects), which are also nonperturbative in that the background reflects nontrivial topological configurations of the underlying fields. Applications range from subnuclear through nanontechnological to cosmological phenomena. Finally, I continue to have interest in developing the theory of magnetic monopoles.
"Distance-dependent sign-reversal in the Casimir-Lifshitz torque," Priyadarshini Thiyam, Prachi Parashar, K. V. Shajesh, Oleksandr I. Malyi, Mathias Boström, Kimball A. Milton, Iver Brevik, Clas Persson, Physical Review Letters, 120, 131601, (2018) ADS: 2018arXiv180101183T arXiv: 1801.01183 DOI: 10.1103/PhysRevLett.120.131601
"On-chip Casimir effect ," K. A. Milton, Nature Photonics, 11, 73-74, (2017) DOI: doi:10.1038/nphoton.2016.277
"Casimir Self-Entropy of an Electromagnetic Thin Sheet," Yang Li, K. A. Milton, Pushpa Kalauni, Prachi Parashar, Phys. Rev. D, 94, 085010, (2016) ADS: 2016PhRvD..94h5010L arXiv: 1607.07900 DOI: 10.1103/PhysRevD.94.085010
"Casimir Friction Between Polarizable Particle and Half-Space with Radiation Damping at Zero Temperature ," J. S. Hoye, I. Brevik and K. A. Milton, J. Phys. A: Math. Theor., 48, 365004, (2015) ADS: 2015JPhA...48J5004H arXiv: 1506.03937 DOI: 10.1088/1751-8113/48/36/365004
"Casimir-Polder repulsion: Three-body effects ," Kimball A. Milton, E. K. Abalo, Prachi Parashar, Nima Pourtolami, Iver Brevik, Simen A. Ellingsen, Stefan Yoshi Buhmann, and Stefan Scheel, Phys. Rev. , 91, 042510, (2015) ADS: 2015PhRvA..91d2510M arXiv: 1502.06129 DOI: 10.1103/PhysRevA.91.042510
"How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy," K. A. Milton, K. V. Shajesh, S. A. Fulling, Prachi Parashar, Physical Review D, 88, 064027, (2014) ADS: 2014PhRvD..89f4027M arXiv: 1401.0784
"Investigations of the torque anomaly in an annular sector. II. Global calculations, electromagnetic case," K. A. Milton, Prachi Parashar, E.K. Abalo, Fardin Kheirandish, and Klaus Kirsten, Physical Review D, 88, 045030 , (2013) ADS: 2013PhRvD..88d5030M arXiv: 1307.2535