Minimal coupling method and the dissipative scalar field theory
نویسنده
چکیده
Quantum field theory of a damped vibrating string as the simplest dissipative scalar field investigated by its coupling with an infinit number of Klein-Gordon fields as the environment by introducing a minimal coupling method. Heisenberg equation containing a dissipative term proportional to velocity obtained for a special choice of coupling function and quantum dynamics for such a dissipative system investigated. Some kinematical relations calculated by tracing out the environment degrees of freedom. The rate of energy flowing between the system and it’s environment obtained.
منابع مشابه
ua nt - p h / 06 10 13 3 v 1 1 7 O ct 2 00 6 Dissipation in Quantum Mechanics , Scalar and Vector Field Theory
A new minimal coupling method is introduced. A general dissipa-tive quantum system is investigated consistently and systematically. Some coupling functions describing the interaction between the system and the environment are introduced. Based on coupling functions , some susceptibility functions are attributed to the environment explecitly. Transition probabilities relating the way energy flow...
متن کاملFinite temperature correlation function of two dissipative massive scalar fields: Thermofield approach
The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...
متن کاملاثر تصحیحات مرتبه اول ثابت جفتشدگی بر زمان تعادل
We use gauge-gravity duality to study the effect of corrections to the coupling constant on equilibration time in field theory for scalar operators with Delta=2,3. We will show that for larger correction in coupling constant the equilibration time enhances and this behavior is independent of the method we use to make the system out of equilibrium. Interestingly we observe that for fast energy i...
متن کاملA minimal coupling method for dissipative quantum systems
Quantum dynamics of a general dissipative system investigated by its coupling to a Klein-Gordon type field as the environment by introducing a minimal coupling method. As an example, the quantum dynamics of a damped three dimensional harmonic oscillator investigated and some transition probabilities indicating the way energy flows between the subsystems obtained. The quantum dynamics of a dissi...
متن کامل0 Measurability of the non - minimal scalar coupling constant
The ”measurability” of the non-minimal coupling is discussed in the context of the effective field theory of gravity. Although there is no obvious motive for excluding a non-minimal scalar coupling from the theory, we conclude that for reasonable values of the coupling constant it makes only a very small correction. Typeset using REVTEX ∗email: [email protected] †email: [email protected]
متن کامل