1803
A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams
We construct a three parameter deformation of the Hopf algebra $\mathbf{LDIAG}$. This new algebra is a true Hopf deformation which reduces to $\mathbf{LDIAG}$ on one hand and to $\mathbf{MQSym}$ on the other, relating $\mathbf{LDIAG}$ to other Hopf algebras of interest in contemporary physics. Further, its product law reproduces that of the algebra of polyzeta functions.
84436927
ORDER PARAMETERS FOR BROKEN ABELIAN SYMMETRIES
118438283
Spontaneous symmetry breaking and the Cabibbo angle
SummaryWe study the possibility that the magnitude and direction of the strong breaking ofSU3 may be obtained from a self-consistent response equation, symmetric inSU3 apart from driving terms. These driving terms may be eithera), direct: a relatively strong force corresponding to the fifth interaction, orb) indirect: small perturbations due to electromagnetic and appropriate weak interactions. In the latter case, choosing a model in which the nonleptonic decays have a characteristic angle twice that of the semi-leptonic decays, one obtains the value

$$\tfrac{1}{2}\cos ^{ - 1} (\sqrt 3 /2) = 15^ \circ $$

 for the Cabibbo angle.RiassuntoSi studia la possibilità di ottenere l’intensità e la direzione della rottura forte diSU3 da una equazione di risposta autocoerente, simmetrica inSU3 indipendentemente dai termini fondamentali. Questi termini fondamentali possono esere siaa) diretti: una forza relativamente forte corrispondente alla quinta interazione, ob) indiretti: piccole perturbazioni dovute ad interazioni elettromagnetiche deboli ed appropriate. Nell'ultimo caso, scegliendo un modello in cui i decadimenti non leptonici hanno un angolo caratteristico doppio di quello dei decadimenti semileptonici, si ottiene il valore di

$$\tfrac{1}{2}\cos ^{ - 1} (\sqrt 3 /2) = 15^ \circ $$

 per l’angolo di Cabibbo.РезюмеМы изучаем возможность, что величина и направление сильного нарушенияSU3 могут быть получены из само-согласованного характеристического уравнения, симметричного вSU3, за иа исключением главных членов. Эти главные члены могут быть либо a)прямыми: относительно сильная сила, соответствующая Пятому Взаимодействию, либо б) непрямыми: слабые возмущения, обусловленные электромагинтным и соответствующим слабым взаимодействиями. В последнем случае, выбирая модель, в которой нелептонные распады имеют характеристический угол в два раза болясий, чем для полу-лептонных распадов, получаем величину

$$\tfrac{1}{2}\cos ^{ - 1} (\sqrt 3 /2) = 15^ \circ $$

 для угла Кабиббо.
121551361
Chiral symmetry and the goldstone theorem
121600297
Nonlinear realizations, the sugawara model and goldstone bosons
119221920
Inflationary Instabilities of Einstein-Aether Cosmology
We examine the consequences of Lorentz violation during slow-roll inflation. We consider a canonical scalar inflaton coupled, through its potential, to the divergence of a fixed-norm timelike vector field, or "aether." The vector is described by Einstein-aether theory, a vector-tensor model of gravitational Lorentz violation. We derive and analyze the cosmological perturbation equations for the metric, inflaton, and aether. If the scale of Lorentz violation is sufficiently small compared to the Planck mass, and the strength of the scalar-aether coupling is suitably large, then the spin-0 and spin-1 perturbations grow exponentially and spoil the inflationary background. The effects of such a coupling on the CMB are too small to be visible to current or near-future CMB experiments; unusually, no isocurvature modes are produced at first order in a perturbative expansion around the aether norm. These results are discussed for both a general potential and a worked example, $m^2 \phi^2$ inflation with a quadratic scalar-aether coupling term.