Relativistically Invariant Markovian Dynamical Collapse Theories Must Employ Nonstandard Degrees of Freedom
نویسنده
چکیده
The impossibility of an indeterministic evolution for standard relativistic quantum field theories, that is, theories in which all fields satisfy the condition that the generators of spacetime translation have spectrum in the forward light-cone, is demonstrated. The demonstration proceeds by arguing that a relativistically invariant theory must have a stable vacuum, and then showing that stability of the vacuum, together with the requirements imposed by relativistic causality, entails deterministic evolution, if all degrees of freedom are standard degrees of freedom.
منابع مشابه
Breathing Relativistic Rotators and Fundamental Dynamical Systems
Abstract. Breathing rotators are relativistic dynamical systems consisting of a single null vector associated with position and described by a relativistically invariant action. They extend a class of rotators recently considered by Staruszkiewicz in the context of rigid bodies of Hanson and Regge. Of great interest are fundamental dynamical systems, that is such, whose Casimir invariants of th...
متن کاملDynamical symmetries in noncommutative theories
In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity θ . In this framework we consider theories that are invariant unde...
متن کاملExtending the applicability of Redfield theories into highly non-Markovian regimes.
We present a new, computationally inexpensive method for the calculation of reduced density matrix dynamics for systems with a potentially large number of subsystem degrees of freedom coupled to a generic bath. The approach consists of propagation of weak-coupling Redfield-like equations for the high-frequency bath degrees of freedom only, while the low-frequency bath modes are dynamically arre...
متن کاملInfinite Sequence of Poincare Group Extensions: Structure and Dynamics
We study the structure and dynamics of the infinite sequence of extensions of the Poincare algebra outlined in hep-th/0808.2243. We give explicitly the MaurerCartan (MC) 1-forms of the extended Lie algebras up to level three. Using these forms, coupled to new dynamical parameters, to construct a relativistically invariant particle Lagrangian, we find that it describes the motion of a relativist...
متن کاملStandard and Generalized Newtonian Gravities as “gauge” Theories of the Extended Galilei Group - Ii: Dynamical Three-space Theories
In a preceding paper we developed a reformulation of Newtonian gravitation as a gauge theory of the extended Galilei group. In the present one we derive two true generalizations of Newton’s theory (a ten-fields and an eleven-fields theory), in terms of an explicit Lagrangian realization of the absolute time dynamics of a Riemannian three-space. They turn out to be gauge invariant theories of th...
متن کامل