The vacuum and lightcone quantization of interaction Hamiltonians |
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| Authors: | John C Baez |
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| Institution: | (1) Department of Mathematics, Wellesley College, 02181 Wellesley, MA, U.S.A.;(2) Present address: University of California, Riverside, USA |
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| Abstract: | Let  denote the conformally invariant neutral free scalar field on  ×S
n. The  naive lightcone Hamiltonian for a p interaction is given by  c p , where C denotes a lightcone in ×S
n, and the Wick power is relative to the free vacuum. We show that this sesquilinear form annihilates the free vacuum if n 3 is odd, p>2, and p(n–1) 0 mod 4. |
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| Keywords: | 81E10 81C12 53A30 |
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