226 citations · 2.5k across the 109 of their papers we have counts for
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Gauge Fixing in the Partition Function for Generalized Quantum Dynamics
Stephen L. Adler
We discuss the problem of gauge fixing for the partition function in generalized quantum (or trace) dynamics, deriving analogs of the De Witt-Faddeev-Popov procedure and of the BRS…
Corrections to the Emergent Canonical Commutation Relations Arising in the Statistical Mechanics of Matrix Models
Stephen L. Adler, Achim Kempf
We study the leading corrections to the emergent canonical commutation relations arising in the statistical mechanics of matrix models, by deriving several related Ward identities,…
A Strategy for a Vanishing Cosmological Constant in the Presence of Scale Invariance Breaking
Stephen L. Adler
Recent work has shown that complex quantum field theory emerges as a statistical mechanical approximation to an underlying noncommutative operator dynamics based on a total trace a…
A Rejoinder on Quaternionic Projective Representations
Stephen L. Adler, G. G. Emch
In a series of papers published in this Journal (J. Math. Phys.), a discussion was started on the significance of a new definition of projective representations in quaternionic Hil…
Poincaré Supersymmetry Representations Over Trace Class Noncommutative Graded Operator Algebras
Stephen L. Adler
We show that rigid supersymmetry theories in four dimensions can be extended to give supersymmetric trace (or generalized quantum) dynamics theories, in which the supersymmetry alg…
The Matrix Model for M Theory as an Exemplar of Trace (or Generalized Quantum) Dynamics
Stephen L. Adler
We show that the recently proposed matrix model for M theory obeys the cyclic trace assumptions underlying generalized quantum or trace dynamics. This permits a verification of sup…