Epstein Secrets

hrough Newton's discovery of the laws of motion, through the experimental and theoretical investigations of the nature of electromagnetism, through Einstein's unification of space and time, through the discoveries of the nucleus, quantum mechanics, protons, neutrons, and the discovery of the weak and st

romagnetic wave whose speed could be calculated from first principles, and lo and behold, the prediction was equal to the mea- sured speed of light. Einstein's unification of space and time predicted that clocks would slow for moving observers, and lo and behold, they do, and in just the way he predicted

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

§0,(x) where 122 = 1 + 2e4)t./All, (2) is the conformal factor and Alp is the reduced Planck mass. By doing so, one passes from the Jordan to the Einstein frame. The scalar potential in the new frame becomes V (h) Am 4 (1 + ) 2 (3) where we have written et = h2/ 2. At large field values, h > Mp/

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 [

li,„(s) where D2 = 1 + 2e(}141/4/1, (2) is the conformal factor and My is the reduced Planck mass. By doing so. one passes from the Jordan to the Einstein frame. The scalar potential in the new frame becomes V(h) 2 (3) 4 (1 + where we have written 4.147, = h2/ 2. At large field values. h > ii/p/V

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 [