ar X iv : h ep - t h / 95 10 04 4 v 1 9 O ct 1 99 5 Plugging the Gauge Fixing into the Lagrangian
نویسنده
چکیده
A complete analysis of the consequences of introducing a set of holonomic gauge fixing constraints (to fix the dynamics) into a singular Lagrangian is performed. It is shown in general that the dynamical system originated from the reduced Lagrangian erases all the information regarding the first class constraints of the original theory, but retains its second class. It is proved that even though the reduced Lagrangian can be singular, it never possesses any gauge freedom. As an application, the example of n · A = 0 gauges in electromagnetism is treated in full detail.
منابع مشابه
ar X iv : h ep - t h / 98 10 23 4 v 1 2 8 O ct 1 99 8 FUNCTIONAL APPROACH TO PHASE SPACE FORMULATION OF QUANTUM MECHANICS
We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by ¯ h-deformation of the cohomological classical mechanics described by d = 1, N = 2 model. We use the extended phase space supplied by the path integral formulation with ¯ h-deformed symplectic structure.
متن کاملar X iv : h ep - l at / 9 90 91 10 v 1 1 4 Se p 19 99 1 Improved Landau Gauge Fixing and Discretisation Errors ∗
Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a 2) errors are removed is presented. O(a 2) improvement of the gauge fixing condition displays the secondary benefit of reducing the size of higher-order errors. These results emphasise the importance of implementing an improved gauge fixing condition.
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In this work we propose two Lagrange multipliers with distinct coefficients for the light-front gauge that leads to the complete (non-reduced) propagator. This is accomplished via (n · A) 2 + (∂ · A) 2 terms in the La-grangian density. These lead to a well-defined and exact though Lorentz non invariant light front propagator.
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