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  1. Vor 3 Tagen · Representations appear in the description of fields in classical field theory, most importantly the electromagnetic field, and of particles in relativistic quantum mechanics, as well as of both particles and quantum fields in quantum field theory and of various objects in string theory and beyond.

  2. Vor 4 Tagen · Here, we demonstrate yet another attempt to fermionic systems based on density-functional theory in its time-dependent version, which has regard to the thermal fluctuations (for a density ...

  3. Vor 2 Tagen · Tau function (integrable systems) Tau functions are an important ingredient in the modern mathematical theory of integrable systems, and have numerous applications in a variety of other domains. They were originally introduced by Ryogo Hirota [1] in his direct method approach to soliton equations, based on expressing them in an equivalent ...

  4. Vor 2 Tagen · We provide an explicit expression for the modular hamiltonian of the von Neumann algebras associated to the unit double cone for the (fermionic) quantum field theories of the 2-component Weyl (helicity 1/2) field, and of the 4-component massless Dirac and Majorana fields. To this end, we represent the one particle spaces of these theories in terms of solutions of the corresponding wave ...

  5. Vor 2 Tagen · We present a non-perturbative framework for incorporating gauge field fluctuations into effective actions of QED3 in the infrared using fermionic particle-vortex duality. This approach is demonstrated through the applications to models containing N species of 2-component Dirac fermions in solvable and interpretable electromagnetic backgrounds, focusing on N = 1 or 2. For the N = 1 model, we ...

  6. Vor einem Tag · Ground-state energy (left) and block entropy as a function of the left block size, ℓ (right), for some selected mode transformation macro-iteration cycles, 0,1,2,5,15,21,31, with fixed bond dimension D mo = 80 for the half-filled 12 × 12 two-dimensional spinless fermionic model, with model parameters given in Fig. 1. Reuse & Permissions

  7. Vor 2 Tagen · The absorption of fermionic dark matter has recently been studied as a signature for the direct detection of dark matter. We construct the first UV completion of the scalar effective operator associated with this signature. We calculate the constraints on the model and demonstrate there is viable parameter space which can be probed by a next-generation experiment such as XLZD. We also consider ...