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--- formulas:gauss_law [2018/03/30 15:48]
jakobadmin [Concrete]
+++ formulas:gauss_law [2018/05/13 09:19] (current)
jakobadmin ↷ Page moved from formulas:yang_mills_equations:gauss_law to formulas:gauss_law
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 ====== Gauss Law ======
-//also called "Gauss constraint//
+//also called "Gauss constraint"//
@@ Line 6: / Line 6: @@
   * https://www.physicsforums.com/insights/partial-derivation-gausss-law/
 <tabbox Concrete>
@@ Line 22: / Line 24: @@
 //
-We can rewrite it in terms of the fields as
+We can rewrite it in terms of the gauge potentials as
-$$  I(x) \equiv D_i G^{0i} =\partial_i E^i + [A_i,E^i]=0 $$
-and is one of the field equations that are derivable from the [[equations:yang_mills_equations|Yang-Mills Lagrangian]].
+$$  I(x) \equiv D_i G^{0i} =\partial_i E^i + [A_i,E^i]=0 .$$
@@ Line 133: / Line 132: @@
 <cite>[[https://arxiv.org/abs/1408.3233|Boundary terms in quantum field theory and the spin structure of QCD]] by Peter Lowdon</cite></blockquote>
 <tabbox Why is it interesting?>
+Gauss law in an important constraint on the initial data in gauge theories. It is particularly important if we want to understand how we can [[advanced_tools:gauge_symmetry:gauge_fixing|fix the gauge]] consistently.
 <blockquote>