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Dec 16, 2013 at 18:28 comment added Valter Moretti Yes, you are right, that is a further problem. However it also involves the notion of spin (in view of spin statistics theorem) that is a completely quantum one. Is there a classical corresponding, for instance, of Dirac field?
Dec 16, 2013 at 18:23 comment added Slaviks I presume that OP includes identification of statistics of the fields (bosonic/fermionic) as part of the quantization / regularization procedure given together with the Lagrngian?
Dec 16, 2013 at 16:18 history answered Valter Moretti CC BY-SA 3.0