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Spontaneously broken symmetries: Effective lagrangians at finite volume

Dec, 1987
16 pages
Published in:
  • Nucl.Phys.B 307 (1988) 763-778,
  • Nucl.Phys.B 307 (1988) 763-778
  • Published: Oct 21, 2002
    and
  • Published: 1988
DOI:
Report number:
  • BUTP-87-22-BERN
reference search350 citations

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1988199720062015202405101520
Abstract: (Elsevier B.V.)
At low temperatures and large volumes, the partition function is dominated by the Goldstone bosons generated by spontaneous symmetry breakdown. We show that the behaviour of the system can be analyzed in terms of an effective lagrangian, whose coupling constants are independent of the temperature, but, in general, depend on the volume. If the Bose (Fermi) fields of the underlying theory are subject to periodic (antiperiodic) boundary conditions, there is no volume dependence: the effective lagrangian coincides with the standard, Lorentz invariant expression which describes the behaviour of the system at infinite volume and at zero temperature.
  • QUANTUM CHROMODYNAMICS
  • FIELD THEORY: EFFECTIVE LAGRANGIANS
  • SYMMETRY: CHIRAL
  • SPONTANEOUS SYMMETRY BREAKING
  • EFFECT: FINITE SIZE
  • BOSON: GOLDSTONE PARTICLE
  • FIELD THEORY: PARTITION FUNCTION
  • FIELD THEORETICAL MODEL: SIGMA
  • NONLINEAR
  • FIELD THEORY: FINITE TEMPERATURE
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