P. A. M. Dirac and the formation of the basic ideas of quantum field theory

1987 ◽  
Vol 30 (9) ◽  
pp. 791-815
Author(s):  
B V Medvedev ◽  
Dmitrii V Shirkov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Basic Ideas

scholarly journals Hadron physics from lattice QCD

2016 ◽  
Vol 25 (07) ◽  
pp. 1642008 ◽  
Author(s):  
Wolfgang Bietenholz
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Perturbation Theory ◽  
Quantum Field ◽  
Chiral Perturbation ◽  
Hadron Physics ◽  
Lattice Regularization ◽  
Sign Problem ◽  
Hadron Masses ◽  
Basic Ideas

We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at the non-perturbative level. We comment on selected results, with a focus on hadron masses and the link to Chiral Perturbation Theory. At last, we address two outstanding issues: topological freezing and the sign problem.

scholarly journals RAPID TUNNELING AND PERCOLATION IN THE LANDSCAPE

2009 ◽  
Vol 24 (04) ◽  
pp. 741-788 ◽  
Author(s):  
SASWAT SARANGI ◽  
GARY SHIU ◽  
BENJAMIN SHLAER
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Percolation Theory ◽  
Functional Approach ◽  
Quantum Field ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Decay Channels ◽  
Resonance Tunneling ◽  
Basic Ideas

Motivated by the possibility of a string landscape, we re-examine tunneling of a scalar field across single/multiple barriers. Recent investigations have suggested modifications to the usual picture of false vacuum decay that leads to efficient and rapid tunneling in the landscape when certain conditions are met. This can be due to stringy effects (e.g. tunneling via the DBI action), or effects arising from the presence of multiple vacua (e.g. resonance tunneling). In this paper we discuss both DBI tunneling and resonance tunneling. We provide a QFT treatment of resonance tunneling using the Schrödinger functional approach. We also show how DBI tunneling for supercritical barriers can naturally lead to conditions suitable for resonance tunneling. We argue, using basic ideas from percolation theory, that tunneling can be rapid in a landscape where a typical vacuum has multiple decay channels, and discuss various cosmological implications. This rapidity vacuum decay can happen even if there are no resonance/DBI tunneling enhancements, solely due to the presence of a large number of decay channels. Finally, we consider various ways of circumventing a recent no-go theorem for resonance tunneling in quantum field theory.

Field theory, quantum

2018 ◽  
Author(s):  
Paul Teller
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Finite Number ◽  
Quantum Correlations ◽  
Quantum Field ◽  
Indefinite Number ◽  
Basic Ideas ◽  
Conceptual Difficulties ◽  
Number Of Particles

Quantum field theory extends the basic ideas of quantum mechanics for a fixed, finite number of particles to systems comprising fields and an unlimited, indefinite number of particles, providing a coherent blend of field-like and particle-like concepts. One can start from either field- or particle-like concepts, apply the methods of quantum mechanics, and arrive at the same theory. The result inherits all the puzzles of conventional quantum mechanics, such as measurement, superposition and quantum correlations; and it adds a new roster of conceptual difficulties. To mention three: the vacuum seems not really to be empty; the particle concept clashes with classical intuitions; and a method called ‘renormalization’ gets the best predictions in physics, apparently by dropping infinite terms.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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