In quantum field theory, the theta vacuum is the semi-classical vacuum state of non-abelian Yang–Mills theories specified by the vacuum angleθ that arises when the state is written as a superposition of an infinite set of topologically distinct vacuum states. The dynamical effects of the vacuum are captured in the Lagrangian formalism through the presence of a θ-term which in quantum chromodynamics leads to the fine tuning problem known as the strong CP problem. It was discovered in 1976 by Curtis Callan, Roger Dashen, and David Gross,[1] and independently by Roman Jackiw and Claudio Rebbi.[2]
^Callan, C.G.; Dashen, R.F.; Gross, D.J. (1976). "The structure of the gauge theory vacuum". Physics Letters B. 63 (3): 334–340. Bibcode:1976PhLB...63..334C. doi:10.1016/0370-2693(76)90277-X.
^Jackiw, R.; Rebbi, C. (1976). "Vacuum Periodicity in a Yang–Mills Quantum Theory". Physical Review Letters. 37 (3): 172–175. Bibcode:1976PhRvL..37..172J. doi:10.1103/PhysRevLett.37.172.
quantum field theory, the thetavacuum is the semi-classical vacuum state of non-abelian Yang–Mills theories specified by the vacuum angle θ that arises when...
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A vacuum Rabi oscillation is a damped oscillation of an initially excited atom coupled to an electromagnetic resonator or cavity in which the atom alternately...
the vacuum, is at least m0, ‖ d d t | θ ⟩ ‖ = ‖ H | θ ⟩ ‖ ≥ m 0 ‖ | θ ⟩ ‖ . {\displaystyle \left\|{\frac {d}{dt}}|\theta \rangle \right\|=\|H|\theta \rangle...
have longer wavelengths. Wavelength depends on the medium (for example, vacuum, air, or water) that a wave travels through. Examples of waves are sound...
effects had never been experimentally observed. While the speed of light in vacuum is a universal constant (c = 299,792,458 m/s), the speed in a material may...
the angle of incidence θ 1 {\displaystyle {\theta _{1}}} and angle of refraction θ 2 {\displaystyle {\theta _{2}}} is equal to the ratio of phase velocities...
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{\displaystyle ds^{2}=-c^{2}\,dt^{2}+d\ell ^{2}+(k^{2}+\ell ^{2})(d\theta ^{2}+\sin ^{2}\theta \,d\varphi ^{2}),} first presented by Ellis (see Ellis wormhole)...
θ = r s r , {\displaystyle 2R^{t}{}_{\theta \theta t}=2R^{r}{}_{\theta \theta r}=R^{\phi }{}_{\theta \phi \theta }={\frac {r_{\text{s}}}{r}},} 2 R t ϕ...
r-e^{-i\theta }{\hat {a}}\sinh r} The squeeze operator is ubiquitous in quantum optics and can operate on any state. For example, when acting upon the vacuum...
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medium is λ = λ0/n, where λ0 is the wavelength of that light in vacuum. This implies that vacuum has a refractive index of 1, and assumes that the frequency...
_{0}}{2\pi \,{\sqrt {n_{1}^{2}\sin ^{2}\theta _{\text{i}}\,-\,n_{2}^{2}}}}}~,} where λ0 is the wavelength in vacuum, i.e. 2 π / k 0 . {\displaystyle \,2\pi...
\lambda ={\frac {\lambda _{0}^{2}}{2nl\cos \theta +\lambda _{0}}}\approx {\frac {\lambda _{0}^{2}}{2nl\cos \theta }},} where λ0 is the central wavelength...