TY - JOUR

T1 - Gauge and group properties of massless fields in any dimension

AU - Shnerb, N.

AU - Horwitz, L. P.

PY - 1994

Y1 - 1994

N2 - It is shown that the solvable structure of the stability group of a massless field yields, in a simple and short way, useful information about the physical polarization states, and the structure of the Hilbert space for such a field. It is also shown that such fields are necessarily gauge fields; the exact form of the gauge transformation follows from the structure of the equivalence classes implied by the group properties. Some examples for spinor and tensor fields in general dimensions are worked out and the structure of the Hilbert space for gravitational radiation is discussed in some detail.

AB - It is shown that the solvable structure of the stability group of a massless field yields, in a simple and short way, useful information about the physical polarization states, and the structure of the Hilbert space for such a field. It is also shown that such fields are necessarily gauge fields; the exact form of the gauge transformation follows from the structure of the equivalence classes implied by the group properties. Some examples for spinor and tensor fields in general dimensions are worked out and the structure of the Hilbert space for gravitational radiation is discussed in some detail.

UR - http://www.scopus.com/inward/record.url?scp=21344482446&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/10/030

DO - 10.1088/0305-4470/27/10/030

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AN - SCOPUS:21344482446

SN - 0305-4470

VL - 27

SP - 3565

EP - 3574

JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

IS - 10

M1 - 030

ER -