TY - JOUR
T1 - Field theory of hyperfluid
AU - Ariki, Taketo
N1 - Funding Information:
The author currently belongs to Institute of Materials and Systems for Sustainability, Nagoya University, Japan. The present work is supported by Grant-in-Aid for JSPS Research Fellow.
PY - 2018/1/2
Y1 - 2018/1/2
N2 - A hyperfluid model is constructed on the basis of its action entirely free from external constraints, regarding the hyperfluid as a self-consistent classical field. Intrinsic hypermomentum is no longer a supplemental variable given by external constraints, but arises purely from the diffeomorphism covariance of dynamical field. The field-theoretic approach allows natural classification of a hyperfluid on the basis of its symmetry group and corresponding homogeneous space; scalar, spinor, vector, and tensor fluids are introduced as simple examples. Apart from phenomenological constraints, the theory predicts the hypermomentum exchange of fluid via field-theoretic interactions of various classes; fluid-fluid interactions, minimal and non-minimal SU(n)-gauge couplings, and coupling with metric-affine gravity are all successfully formulated within the classical regime.
AB - A hyperfluid model is constructed on the basis of its action entirely free from external constraints, regarding the hyperfluid as a self-consistent classical field. Intrinsic hypermomentum is no longer a supplemental variable given by external constraints, but arises purely from the diffeomorphism covariance of dynamical field. The field-theoretic approach allows natural classification of a hyperfluid on the basis of its symmetry group and corresponding homogeneous space; scalar, spinor, vector, and tensor fluids are introduced as simple examples. Apart from phenomenological constraints, the theory predicts the hypermomentum exchange of fluid via field-theoretic interactions of various classes; fluid-fluid interactions, minimal and non-minimal SU(n)-gauge couplings, and coupling with metric-affine gravity are all successfully formulated within the classical regime.
KW - action principle
KW - fluid mechanics
KW - gauge theory
KW - metric-affine gravity
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U2 - 10.1088/1361-6382/aa972d
DO - 10.1088/1361-6382/aa972d
M3 - Article
AN - SCOPUS:85040655138
VL - 35
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 3
M1 - 035003
ER -