Epstein Secrets

eing: Symmetry Broken, Physics Fixed 203 was written down in the context of a nonrelativistic condensed matter setting—combined with its violating Goldstone's theorem from particle physics, which implied that symmetry breaking and massless particles were inseparable—meant that his claim that massless st

owing Higgs's stint at the summer school in 1960, he began to study the literature on symmetry and symmetry breaking, examin- ing the work of Nambu, Goldstone, Salam, Weinberg, and Anderson. Higgs became depressed by the seemingly hopeless task of reconciling Goldstone's theorem with the possibility of ma

Strong Interactions." Sakurai took the 2P_GrealestSleryEverTold_AC.indd 192 12/16116 3:06 PIA EFTA00286114 Living inside a Superconductor 193 Yang-Mills suggestion seriously and tried to explore precisely which photonlike particles might convey a strong force between protons and neutrons and the oth

ited to try to make sense of the otherwise complex inter- actions between nucleons and other particles. In response to this notion that some kind of Yang-Mills symmetry might be behind the strong interaction, Murray Gell-Mann developed an elegant symmetry scheme he labeled in a Zen-like fashion the Eight-

auges (RE) upon augmenting the Lagrangian with a gauge fixing term Cil = —GaG a /2 where G a = (1/ vc1)(8 1,Aa P — x,) where Xi are the would-be Goldstone boson fields and Fa; = 7',Ivj with Tal the sym- metry generators and vj the symmetry-breaking vacuum ex- pectation value. (See, e.g., [33]). A corres

ut in this limit the perturbative valid- ity of the calculation begins to break down. To resolve this is- sue, the unphysical degrees of freedom, the Goldstone bosons and ghosts, should be decoupled as the unitary gauge is ap- proached. Our numerical results appear consistent with the Nielsen identities [

ulations typically involve spurious gauge dependence that cancels when physical ob- servable are calculated. For example, in a spontaneously broken Yang-Mills theory one may work in the renormaliz- able class of gauges (RE) upon augmenting the Lagrangian with a gauge fixing term Cil = —GaG a /2 where G a

lass of gauges (RO upon augmenting the Lagrangian with a gauge fixing term Cgi = —G°Ga/2 where = (1/ 1. ,f)(0,A° - xs) where x, are the would-be Goldstone boson fields and F° = riv, with 711 the sym- metry generators and vj the symmetry-breaking vacuum ex- pectation value. (See. e.g., [33]). A correspon

ut in this limit the perturbative valid- ity of the calculation begins to break down. To resolve this is- sue. the unphysical degrees of freedom. the Goldstone bosons and ghosts. should be decoupled as the unitary gauge is ap- proached. Our numerical results appear consistent with the Nielsen identities [

ulations typically involve spurious gauge dependence that cancels when physical ob- servable arc calculated. For example, in a spontaneously broken Yang-Mills theory one may work in the renormaliz- able class of gauges (RO upon augmenting the Lagrangian with a gauge fixing term Cgi = —G°Ga/2 where = (1/