Physics 8048 Problem Set 5 , due 11 / 5 / 14
نویسنده
چکیده
Recall the global U(1) symmetry: Ψ→ e−ieΨ i.e. δΨ = −ieΨ. Let’s run the Noether argument: consider a slightly deformed, infinitesimal version of the symmetry transformation: Ψ→ Ψ + ρδΨ, where is just a small number to keep track of order, and ρ is some general function of x. The fact that we have a U(1) symmetry tells us the action must change under the deformed transformation by δS = ∫ dx J N∂μρ. Show that the Noether current is J N = eZ2Ψ̄γ Ψ. The Ward identity (problem set 5) tells us:
منابع مشابه
Metabolism and pharmacokinetics of JM6 in mice: JM6 is not a prodrug for Ro-61-8048.
Understanding whether regulation of tryptophan metabolites can ameliorate neurodegeneration is of high interest to investigators. A recent publication describes 3,4-dimethoxy-N-(4-(3-nitrophenyl)-5-(piperidin-1-ylmethyl)thiazol-2-yl)benzenesulfonamide (JM6) as a novel prodrug for the kynurenine 3-monooxygenase (KMO) inhibitor 3,4-dimethoxy-N-(4-(3-nitrophenyl)thiazol-2-yl)benzenesulfonamide (Ro...
متن کاملComputational physics: Neural networks
2 Networks of binary neurons 5 2.1 Neural information processing is noisy . . . . . . . . . . . . . 5 2.2 Stochastic binary neurons and networks . . . . . . . . . . . . . 11 2.2.1 Parallel dynamics: Little model . . . . . . . . . . . . . 13 2.2.2 Sequential dynamics . . . . . . . . . . . . . . . . . . . 13 2.3 Some properties of Markov processes . . . . . . . . . . . . . . 14 2.3.1 Eigenvalue s...
متن کاملClassification of linear codes exploiting an invariant
We consider the problem of computing the equivalence classes of a set of linear codes. This problem arises when new codes are obtained extending codes of lower dimension. We propose a technique that, exploiting a simply computed invariant, allows us to reduce the computational complexity of the classification process. Using this technique the [13, 5, 8]7, the [14, 5, 9]8 and the [15, 4, 11]9 co...
متن کاملConstraint Satisfaction: Algorithms and Complexity Course Notes
1 Graph Homomorphisms 2 1.1 Graphs and Digraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Graph Homomorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 The H-coloring Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Cores . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.5 Polymorphism...
متن کاملRupture of the prepubic tendon in a congenitally lordotic mare.
Abnormal conditions associated with parturition do not directly prevent delivery but may indirectly cause concern and become evident prior to labour (3, 8). The prepubic tendon is the tendon sheet attached to the abdominal muscles that supports the entire abdominal contents, including the uterus (10). Rupture of the prepubic tendon mostly occurs with a higher incidence in older drafttype (5, 7,...
متن کامل