Quantum Chromodynamics, Antiferromagnets and XY Models from a Unified Point of View

Abstract

Antiferromagnets and quantum XY magnets in three space dimensions are described by an effective Lagrangian that exhibits the same structure as the effective Lagrangian of quantum chromodynamics with two light flavors. These systems all share a spontaneously broken internal symmetry O($N$) $\to$ O($N$-1). Although the respective scales differ by many orders of magnitude, the general structure of the low-temperature expansion of the partition function is the same. In the nonabelian case, logarithmic terms of the form $T^8\ln T$ emerge at three-loop order, while for $N$=2 the series only involves powers of $T^2$. The manifestation of the Goldstone boson interaction in the pressure, order parameter, and susceptibility is explored in presence of an external field.

arXiv comment31 pages, 10 figures

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Cited by in corpus (4)

• Pion Pressure in a Magnetic Field
• Quark Condensate in a Weak Magnetic Field
• Two-loop free energy of three-dimensional antiferromagnets in external magnetic and staggered fields
• Thermodynamics of Antiferromagnetic Solids in Magnetic Fields