منابع مشابه
article “ There are no Goldstone Bosons in Two Dimensions ”
We discuss Coleman’s theorem asserting the absence of a spontaneously broken continuous symmetry and Goldstone bosons in the quantum field theory of a free massless (pseudo)scalar field in 1+1–dimensional space–time (Comm. Math. Phys. 31, 259 (1973)). We show that Coleman’s theorem is erroneous. We prove that the main signature for the absence of Goldstone bosons, a vacuum state, invariant unde...
متن کاملGoldstone Bosons
The paper concerns the effective field theory methods used to study the low energy structure of systems with a spontaneously broken symmetry. I first explain how the method works in the context of quantum chromodynamics and then discuss a few general aspects, related to the universality of effective theories. In particular, I compare some of the effective field theories used in condensed matter...
متن کاملColeman ’ s paper “ There are no Goldstone Bosons in Two Dimensions ” M . Faber ∗ and
We analyse Coleman’s theorem asserting the absence Goldstone bosons and spontaneously broken continuous symmetry in the quantum field theory of a free massless (pseudo)scalar field in 1+1–dimensional space–time (Comm. Math. Phys. 31, 259 (1973)). We confirm that Coleman’s theorem reproduces well–known Wightman’s statement about the non–existence of a quantum field theory of a free massless (pse...
متن کاملPhonons as Goldstone bosons
The implications of the hidden, spontaneously broken symmetry for the properties of the sound waves of a solid are analyzed. Although the discussion does not go beyond standard wisdom, it presents some of the known results from a different perspective. In particular, I argue that, as a consequence of the hidden symmetry, the equations of motion for a sound wave necessarily contain nonlinear ter...
متن کاملAccidental Goldstone Bosons
We study vacuum alignment in theories in which the chiral symmetry of a set of massless fermions is both spontaneously and explicitly broken. We find that transitions occur between different phases of the fermions’ CP symmetry as parameters in their symmetry breaking Hamiltonian are varied. We identify a new phase that we call pseudoCP-conserving. We observe first and second-order transitions b...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2019
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.100.066002