DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Casimir force on a light front

Abstract

Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard analyses of such configurations are usually done in terms of ordinary, equal-time (Minkowski) coordinates. However, physics is independent of the coordinate choice, and an analysis based on light-front coordinates, where x + t + z / c plays the role of time, is equally valid. After a brief historical introduction, we illustrate and compare equal-time and light-front calculations of the Casimir force.

Authors:
 [1];  [2]
  1. Univ. of Idaho, Moscow, ID (United States). Dept. of Physics
  2. Univ. of Minnesota, Duluth, MN (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1850190
Alternate Identifier(s):
OSTI ID: 1776395
Grant/Contract Number:  
FG02-98ER41087
Resource Type:
Accepted Manuscript
Journal Name:
Progress in Particle and Nuclear Physics
Additional Journal Information:
Journal Volume: 117; Journal Issue: C; Journal ID: ISSN 0146-6410
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Casimir force; Light-front quantization; Quantum vacuum

Citation Formats

Chabysheva, S. S., and Hiller, J. R. Casimir force on a light front. United States: N. p., 2020. Web. doi:10.1016/j.ppnp.2020.103836.
Chabysheva, S. S., & Hiller, J. R. Casimir force on a light front. United States. https://doi.org/10.1016/j.ppnp.2020.103836
Chabysheva, S. S., and Hiller, J. R. Sat . "Casimir force on a light front". United States. https://doi.org/10.1016/j.ppnp.2020.103836. https://www.osti.gov/servlets/purl/1850190.
@article{osti_1850190,
title = {Casimir force on a light front},
author = {Chabysheva, S. S. and Hiller, J. R.},
abstractNote = {Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard analyses of such configurations are usually done in terms of ordinary, equal-time (Minkowski) coordinates. However, physics is independent of the coordinate choice, and an analysis based on light-front coordinates, where x+≡t+z/c plays the role of time, is equally valid. After a brief historical introduction, we illustrate and compare equal-time and light-front calculations of the Casimir force.},
doi = {10.1016/j.ppnp.2020.103836},
journal = {Progress in Particle and Nuclear Physics},
number = C,
volume = 117,
place = {United States},
year = {Sat Nov 21 00:00:00 EST 2020},
month = {Sat Nov 21 00:00:00 EST 2020}
}

Works referenced in this record:

General Theory of van der Waals' Forces
journal, February 1961


Zero-point energy in bag models
journal, September 1980


Cosmic topology
journal, March 1995


Derivation of the Blackbody Radiation Spectrum without Quantum Assumptions
journal, June 1969


Fermionic Casimir stress on a spherical bag
journal, October 1983


Inhibited Spontaneous Emission by a Rydberg Atom
journal, November 1985


Die Nullpunktsenergie
journal, September 1943


Sur les forces Van der Waals-London
journal, January 1949


Fine Structure of the Hydrogen Atom by a Microwave Method
journal, August 1947


Fluorescence from molecules between mirrors
journal, April 1973


Introductory remarks on quantum electrodynamics
journal, January 1953


Nonrelativistic quantum mechanics and the anomalous part of the electron g factor
journal, July 1977

  • Grotch, H.; Kazes, E.
  • American Journal of Physics, Vol. 45, Issue 7
  • DOI: 10.1119/1.10814

Measured long-range repulsive Casimir–Lifshitz forces
journal, January 2009

  • Munday, J. N.; Capasso, Federico; Parsegian, V. Adrian
  • Nature, Vol. 457, Issue 7226
  • DOI: 10.1038/nature07610

Spontaneous emission between mirrors
journal, October 1973


The Electromagnetic Shift of Energy Levels
journal, August 1947


A new twist on the quantum vacuum
journal, October 2019


Casimir energies and pressures for  -function potentials
journal, June 2004


Perturbative Casimir energies of dispersive spheres, cubes and cylinders
journal, May 2001


Casimir forces and non-Newtonian gravitation
journal, October 2006


Measurement of the Casimir Force between Parallel Metallic Surfaces
journal, January 2002


Casimir effect on the light cone
journal, February 2003


Quantum Electrodynamics of Spinless Particles between Conducting Plates
journal, December 1970

  • Barton, G.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 320, Issue 1541
  • DOI: 10.1098/rspa.1970.0208

Calculation of gauge couplings and compact circumferences from self-consistent dimensional reduction
journal, May 1984


Casimir energy of a spherical shell
journal, December 1998


Microwave spectroscopy of high- L , n =10 Rydberg states of helium
journal, September 1992


Opposites Attract: A Theorem about the Casimir Force
journal, October 2006


Explicitly covariant light-front dynamics and relativistic few-body systems
journal, July 1998


Measurement of the Casimir torque
journal, December 2018


Irreversibility and Generalized Noise
journal, July 1951


Some Observable Effects of the Quantum-Mechanical Fluctuations of the Electromagnetic Field
journal, November 1948


Vacuum Radiative Level Shift and Spontaneous-Emission Linewidth of an Atom in an Optical Resonator
journal, December 1987


The Casimir effect
journal, March 1986


Long-range potentials and the electromagnetic polarizabilities
journal, November 1976


Quantum chromodynamics and other field theories on the light cone
journal, August 1998


Nonperturbative light-front Hamiltonian methods
journal, September 2016


The cosmological constant problem
journal, January 1989


Light-front quantum chromodynamics
journal, June 2014


Bag Models of Hadrons
journal, December 1983


Quantum field theory, horizons and thermodynamics
journal, June 1981


Hypothetical long-range interactions and restrictions on their parameters from force measurements
journal, April 1993


Spectrum and thermodynamic properties of two-dimensional N = ( 1 , 1 ) super Yang-Mills theory with fundamental matter and a Chern-Simons term
journal, August 2007


Zur Theorie und Systematik der Molekularkr�fte
journal, March 1930


Radiation reaction and vacuum fluctuations in spontaneous emission
journal, March 1975


The light-front Nambu–Jona–Lasinio model at finite temperature and density
journal, July 2009


Forms of Relativistic Dynamics
journal, July 1949


Retardation effects on high Rydberg states: A retarded R 5 polarization potential
journal, July 1978


Vacuum fluctuation and retardation effects on long-range potentials
journal, September 1978


Light-front analysis of the Casimir effect
journal, October 2013


Light-Front QED 1 + 1 at Finite Temperature
journal, September 2008


Casimir effect in dielectrics
journal, September 1978


Interpretation of Radiative Corrections in Spontaneous Emission
journal, October 1973

  • Milonni, Peter W.; Ackerhalt, Jay R.; Smith, Wallace Arden
  • Physical Review Letters, Vol. 31, Issue 15
  • DOI: 10.1103/PhysRevLett.31.958

Is there a strong van der Waals force between hadrons?
journal, October 1979


Laser Cooling to the Zero-Point Energy of Motion
journal, January 1989


Notes on black-hole evaporation
journal, August 1976


How does Casimir energy fall?
journal, July 2007


The Casimir force: background, experiments, and applications
journal, December 2004


Scalar production in Schwarzschild and Rindler metrics
journal, April 1975


Measurements of attractive forces between flat plates
journal, January 1958


The dispersion theory of dispersion forces
journal, August 1989


Electromagnetic self-energy of confined massless quarks
journal, December 1974


Demonstration of the Casimir Force in the 0.6 to 6 μ m Range
journal, January 1997


Statistische Untersuchung der Bewegung eines Resonators in einem Strahlungsfeld
journal, January 1910


Light front quantization—A technique for relativistic and realistic nuclear physics
journal, January 2000


Long-range forces between a charged and neutral system
journal, April 1983


Light front Casimir effect
journal, March 2013


QED(1+1) at finite temperature — a study with light-cone quantisation
journal, May 1996