226 citations · 2.5k across the 109 of their papers we have counts for
32 papers · 1 filter
Recent Path Crossings with Roman and Anomalies
Stephen L. Adler
I begin with an anecdote, and then discuss my recent work on anomalies in spin- theories.
Chiral Anomaly Calculation in the Extended Coupled Rarita-Schwinger Mode
Stephen L. Adler, Pablo Pais
We recalculate the chiral anomaly in the Abelian gauge model in which a spin- field is directly coupled to a Rarita-Schwinger spin- field, using the exten…
Free field structure of the model with a spin- Rarita-Schwinger field directly coupled to a spin- field
Stephen L. Adler
In earlier work we introduced an abelianized gauge field model in which a Rarita-Schwinger field is directly coupled to a spin- field, and showed that this model admit…
Analysis of a gauged model with a spin- field directly coupled to a Rarita-Schwinger spin- field
Stephen L. Adler
We give a detailed analysis of an abelianized gauge field model in which a Rarita-Schwinger spin- field is directly coupled to a spin- field. The model pe…
Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger Theory
Stephen L. Adler, Marc Henneaux, Pablo Pais
We reexamine canonical quantization of the gauged Rarita-Schwinger theory using the extended theory, incorporating a dimension auxiliary spin- field ,…
Collinearity constraints for on-shell massless particle three-point functions, and implications for allowed-forbidden -point functions
Stephen L. Adler
A simple collinearity argument implies that the massless particle three-point function of helicities with corresponding real-valued four-momenta tak…
Quantized Gauged Massless Rarita-Schwinger Fields
Stephen L. Adler
We study quantization of a minimally gauged massless Rarita-Schwinger field, by both Dirac bracket and functional integral methods. The Dirac bracket approach in covariant radiatio…
Classical Gauged Massless Rarita-Schwinger Fields
Stephen L. Adler
We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields a consistent classical theory, with a generalized fermioni…
Classical and Quantum Gauged Massless Rarita-Schwinger Fields
Stephen L. Adler
We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields consistent classical and quantum theories, with a generali…
Phases with modular ground states for symmetry breaking by rank 3 and rank 2 antisymmetric tensor scalars
Stephen L. Adler
Working with explicit examples given by the 56 representation in , and the 10 representation in , we show that symmetry breaking of a group ${\cal G}\supset {\cal G}_…
Structure of Fluctuation Terms in the Trace Dynamics Ward Identity
Stephen L. Adler
We give a detailed analysis of the anti-self-adjoint operator contribution to the fluctuation terms in the trace dynamics Ward identity. This clarifies the origin of the apparent i…
Anomalies to All Orders
Stephen L. Adler
I give an account of my involvement with the chiral anomaly, and with the nonrenormalization theorem for the chiral anomaly and the all orders calculation of the trace anomaly, as…
Statistical Dynamics of Global Unitary Invariant Matrix Models as Pre-Quantum Mechanics
Stephen L. Adler
We consider the classical dynamics of bosonic and fermionic matrix variables in complex Hilbert space, defined by a trace action, assuming cyclic invariance under the trace and the…
Symmetry Breaking for Matter Coupled to Linearized Supergravity From the Perspective of the Current Supermultiplet
Stephen L. Adler
We consider a generic supersymmetric matter theory coupled to linearized supergravity, and analyze scenarios for spontaneous symmetry breaking in terms of vacuum expectation values…
Completing the Square to Find the Supersymmetric Matter Effective Action Induced by Coupling to Linearized N=1 Supergravity
Stephen L. Adler
We consider generic N=1 supersymmetric matter coupled to linearized N=1 supergravity through the multiplet of currents. By completing the square, we find the effective action givin…
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…
Frustrated SU(4) as the Preonic Precursor of the Standard Model
Stephen L. Adler
We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplet…
Equilibrium Statistical Ensembles and Structure of the Entropy Functional in Generalized Quantum Dynamics
Stephen L. Adler, L. P. Horwitz
We review here the microcanonical and canonical ensembles constructed on an underlying generalized quantum dynamics and the algebraic properties of the conserved quantities. We dis…
Nonadiabatic Geometric Phase in Quaternionic Hilbert Space
Stephen L. Adler, Jeeva Anandan
We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.