Quantum gauging from classical gauging of nonlinear algebras

Quantum gauging from classical gauging of nonlinear algebras.

We extend our previous theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rules of the gauge fields and currents which additively renormalize the ...

Pulse-Gauging

Gauging Cosets

We show how to gauge the set of raising and lowering generators of an arbitrary Lie algebra. We consider SU(N) as an example. The nilpotency of the BRST charge requires constraints on the ghosts associated to the raising and lowering generators. To remove these constraints we add further ghosts and we need a second BRST charge to obtain nontrivial cohomology. The second BRST operator yields a g...

From Gauging Accuracy of Quantity Estimates to Gauging Accuracy and Resolution of Measuring Physical Fields

For a numerical physical quantity v, because of the measurement imprecision, the measurement result ṽ is, in general, different from the actual value v of this quantity. Depending on what we know about the measurement uncertainty ∆v def = ṽ − v, we can use different techniques for dealing with this imprecision: probabilistic, interval, etc. When we measure the values v(x) of physical fields at ...

Gauging Conformal Algebras with Relations between the Generators

We investigate the gauging of conformal algebras with relations between the generators. We treat the W 5/2 –algebra as a specific example. We show that the gauge-algebra is in general reducible with an infinite number of stages. We show how to construct the BV-extended action, and hence the classical BRST charge. An important conclusion is that this can always be done in terms of the generators...