“…. - The discovery of subatomic structures and of the concomitant weak and strong short-range forces raised the question of how to cope with short-range forces in relativistic quantum field theory. The Fermi theory of weak interactions, formulated in terms of point-like current-current interaction, was well-defined in lowest order perturbation theory and accounted for existing experimental data.However, it was inconsistent in higher orders because of uncontrollable divergent quantum fluctuations. …”
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“…\newline \indent The QGP properties, in principle, can be described by Quantum-Chromo Dynamics (QCD), the quantum field theory of the strong interaction. However, a description of the system based on QCD first principles is extremely complicated due to the relatively low energy scale involved (compared to $\Lambda_{QCD}$), which does not allow to solve the QCD equations using the perturbative approach. …”
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“…The quantum field theory for strong interaction is called Quantum Chromodynamics (QCD). …”
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“…Globally conformal invariant quantum field theories in a D-dimensional space-time (D even) have rational correlation functions and admit an infinite number of conserved (symmetric traceless) tensor currents. …”
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“…It is a framework built on quantum field theory approach, unifying the three out of the four fundamental forces of nature: the strong nuclear, the weak nuclear, and the electromagnetic interactions. …”
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“…Relativistic quantum field theory treats the vacuum as a medium, with bulk properties characterized by long-range order parameters. …”
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“…The Standard Model is a relativistic quantum field theory consistent with both quantum mechanics and special relativity. …”
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“…In addition to that a general introduction to the Quantum Chromodynamics (QCD) is given. QCD is a quantum field theory of the strong force. Similar to QED, quantum chromodynamics predicts the existence of force-carrying particles called gluons, which transmit strong forces between matter particles that carry "color", a strong form of "charge". …”
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“…Briefly, a condensation defect is obtained by gauging a higher-form symmetry along a submanifold, and so there is a natural interplay with notions of decomposition, the statement that d-dimensional quantum field theories with global ( d − 1 ) $(d-1)$ -form symmetries are equivalent to disjoint unions of other quantum field theories. …”
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“…In this lecture we give an elementary introduction to the natural realization of non-perturbative N=2 quantum field theories as a low energy limit of classical string theory. …”
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“…Using the reduced formulation on large-N Quantum Field Theories we study strings in space-time dimensions higher that one. …”
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“…Anomalies are ubiquitous features in quantum field theories. They can ruin the consistency of such theories and put significant restrictions on their viability, especially in dimensions higher than four. …”
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“…Using the reduced formulation of large-N Quantum Field Theories we study strings in space-time dimensions higher than one. …”
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“…We discuss some aspects of noncommutative quantum field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. …”
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“…We employ notions familiar from supersymmetry for constructing the one-loop functional of general quantum field theories with bosons and fermions (spin < 1). …”
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“…A certain pattern of divergence of perturbative expansions in quantum field theories, related to their small and large momentum behaviour, is known as renormalons. …”
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“…The associated Topological Quantum Field Theories correspond to twisted N=2 supersymmetric theories with a central charge. …”
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“…The framework of shifted boundary conditions has proven to be a very powerful tool for the non-perturbative investigation of thermal quantum field theories. For instance, it has been successfully considered for the determination of the equation of state of SU(3) Yang-Mills theory with high accuracy. …”
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“…These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. …”
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“…Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. …”
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