Constraints on Hamiltonian lattice formulations of field theories in an expanding universe

1985 ◽  
Vol 32 (12) ◽  
pp. 3228-3232 ◽  
Author(s):  
Nathan Weiss
Keyword(s):  
Field Theories ◽  
Expanding Universe ◽  
Hamiltonian Lattice

scholarly journals Fermion Bag Approach to Lattice Hamiltonian Field Theories

2018 ◽  
Vol 175 ◽  
pp. 02011
Author(s):  
Emilie Huffman
Keyword(s):  
Universality Class ◽  
Field Theories ◽  
Lattice Field ◽  
Alternative Method ◽  
Hamiltonian Lattice ◽  
Stable Manner

Using a model in the Gross-Neveu Ising universality class, we show how the fermion bag idea can be applied to develop algorithms to Hamiltonian lattice field theories. We argue that fermion world lines suggest an alternative method to the traditional techniques for calculating ratios of determinants in a stable manner. We show the power behind these ideas by extracting the physics of the model on large lattices.

scholarly journals A thermodynamic origin for the Cohen-Kaplan-Nelson bound

2021 ◽  
Author(s):  
Satish Ramakrishna
Keyword(s):  
General Relativity ◽  
Equation Of State ◽  
Density Of States ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Expanding Universe ◽  
Logical Consistency ◽  
Thermodynamic Principle ◽  
Local Quantum

Abstract The Cohen-Kaplan-Nelson bound is imposed on the grounds of logical consistency (with classical General Relativity) upon local quantum field theories. This paper puts the bound into the context of a thermodynamic principle applicable to a field with a particular equation of state in an expanding universe. This is achieved without overtly appealing to either a decreasing density of states or a minimum coupling requirement, though they might still be consistent with the results described.

scholarly journals A thermodynamic origin for the Cohen-Kaplan-Nelson bound

2021 ◽  
Author(s):  
Satish Ramakrishna
Keyword(s):  
General Relativity ◽  
Equation Of State ◽  
Density Of States ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Expanding Universe ◽  
Logical Consistency ◽  
Thermodynamic Principle ◽  
Local Quantum

Abstract The Cohen-Kaplan-Nelson bound is imposed on the grounds of logical consistency (with classical General Relativity) upon local quantum field theories. This paper puts the bound into the context of a thermodynamic principle applicable to a field with a particular equation of state in an expanding universe. This is achieved without overtly appealing to either a decreasing density of states or a minimum coupling requirement, though they might still be consistent with the results described.

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