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We study a nearly critical superfluid system from two complementary approaches. Within the first approach, we formulate a Schwinger-Keldysh effective field theory (EFT) for the system when it is located slightly above the critical temperature. The dynamical variables in the EFT construction are two scalars: a neutral scalar associated with the conserved U(1) charge, and a complex scalar describing the order parameter. The set of symmetries, particularly the dynamical Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly constrains the form of EFT action. Within the second approach, using the holographic Schwinger-Keldysh technique, we derive the effective action for a “microscopic” holographic superfluid, confirming the EFT construction. A systematic inclusion of non-Gaussianity is one highlight of present study.
We study a nearly critical superfluid system from two complementary approaches. Within the first approach, we formulate a Schwinger-Keldysh effective field theory (EFT) for the system when it is located slightly above the critical temperature. The dynamical variables in the EFT construction are two scalars: a neutral scalar associated with the conserved U(1) charge, and a complex scalar describing the order parameter. The set of symmetries, particularly the dynamical Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly constrains the form of EFT action. Within the second approach, using the holographic Schwinger-Keldysh technique, we derive the effective action for a “microscopic” holographic superfluid, confirming the EFT construction. A systematic inclusion of non-Gaussianity is one highlight of present study.
This text revolves around a new and unusual view on the most fundamental puzzle of physics. It focusses on the key aspect that makes the role of the time dimension fundamentally different, dealing on the one hand with general relativity and quantum theory, and on the other hand: causality. The implicit and intuitive way by which causality is usually taken for granted is just made explicit and less self-evident, shedding new light on the gravity–quantum conflict. The case is made that gravity is a necessary condition for a causal universe. But upon turning to the ‘pure’ unitary quantum physics explaining the nature of matter, one is dealing with the strictly acausal time expressed through the thermal quantum field theory machinery. When this acausal microscopic and causal macroscopic world meet, one encounters the wavefunction collapse, that itself may be rooted in the quantum–gravity conflict. Modern ideas are discussed resting on eigenstate thermalization, showing how this may lie eventually at the origin of the irreversible thermodynamics, with its famous second law setting also a direction of time. The case is anchored in the sophisticated modern mathematical machinery of both general relativity and quantum physics, which is typically barely disseminated beyond the theoretical physics floors. The book is unique in the regard that the consequences of this machinery—Riemannian geometry and Penrose diagrams, thermal quantum fields, quantum non-equilibrium, and so forth—are explained in an original, descriptive language, conveying the conceptual consequences while avoiding mathematical technicalities.
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