Quantum field theory correlators at very short and very long distances

... On tiny scales, spacetime looks like Minkowski spacetime. Therefore, questions related to the nature of elementary particles (especially to collider-type experiments) can be dealt with in the framework of this special background ...

... On tiny scales, spacetime looks like Minkowski spacetime. Therefore, questions related to the nature of elementary particles (especially to collider-type experiments) can be dealt with in the framework of this special background ...

Introduction to Lattice Field Theory

... The result looks trivial because the hard task of diagonalizing the Hamiltonian is already done. In any other basis the path integral is non-trivial. By choosing position eigenstates as the basis, Feynman [1] showed that the infinitesimal evolution operator for a single particle is given by hx| U(0, ...

... The result looks trivial because the hard task of diagonalizing the Hamiltonian is already done. In any other basis the path integral is non-trivial. By choosing position eigenstates as the basis, Feynman [1] showed that the infinitesimal evolution operator for a single particle is given by hx| U(0, ...

Entanglement Entropy of non-Unitary Quantum Field Theory

... system is critical and we expect to be able to extract the central charge c of the critical point. What happens if |ψi is the ground state of a critical system described by a non-unitary CFT? We find that we may just replace c → ceff = c − 24∆. Here ceff is the effective central charge and ∆ is the ...

... system is critical and we expect to be able to extract the central charge c of the critical point. What happens if |ψi is the ground state of a critical system described by a non-unitary CFT? We find that we may just replace c → ceff = c − 24∆. Here ceff is the effective central charge and ∆ is the ...

Dirac Operators on Noncommutative Spacetimes ?

... as a natural generalization of ordinary differential geometry. It is also of crucial interest from a physical perspective, since it generically plays a role when the principles of quantum mechanics are combined with those of general relativity [17, 18]. In both contexts, Dirac operators are of major ...

... as a natural generalization of ordinary differential geometry. It is also of crucial interest from a physical perspective, since it generically plays a role when the principles of quantum mechanics are combined with those of general relativity [17, 18]. In both contexts, Dirac operators are of major ...

Quantum Theory, Groups and Representations: An Introduction (under construction) Peter Woit

... 26 Anticommuting Variables and Pseudo-classical Mechanics 26.1 The Grassmann algebra of polynomials on anticommuting generators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26.2 Pseudo-classical mechanics and the fermionic Poisson bracket . . 26.3 Examples of pseudo-classical ...

... 26 Anticommuting Variables and Pseudo-classical Mechanics 26.1 The Grassmann algebra of polynomials on anticommuting generators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26.2 Pseudo-classical mechanics and the fermionic Poisson bracket . . 26.3 Examples of pseudo-classical ...

Lectures on Conformal Field Theory arXiv:1511.04074v2 [hep

... transformations. What other transformations should we consider? We will begin with the most intuitive conformal transformation: a scale transformation (as in Figure 1). Scale transformations act by rescaling, or zooming in and out of some region of spacetime. If we split the space and time coordinat ...

... transformations. What other transformations should we consider? We will begin with the most intuitive conformal transformation: a scale transformation (as in Figure 1). Scale transformations act by rescaling, or zooming in and out of some region of spacetime. If we split the space and time coordinat ...

String Theory. Volume 1, Introduction to the Bosonic String

... From the beginning it was clear that, despite its successes, the Standard Model of elementary particles would have to be embedded in a broader theory that would incorporate gravitation as well as the strong and electroweak interactions. There is at present only one plausible candidate for such a the ...

... From the beginning it was clear that, despite its successes, the Standard Model of elementary particles would have to be embedded in a broader theory that would incorporate gravitation as well as the strong and electroweak interactions. There is at present only one plausible candidate for such a the ...

Factorization algebras and free field theories

... my time there a pleasure. David Nadler has profoundly shaped my approach to and perspective on mathematics, starting with his guidance of the wonderful explorations I undertook with Mike and Ian that first year and continuing on in his demanding but rewarding seminar, and through numerous conversati ...

... my time there a pleasure. David Nadler has profoundly shaped my approach to and perspective on mathematics, starting with his guidance of the wonderful explorations I undertook with Mike and Ian that first year and continuing on in his demanding but rewarding seminar, and through numerous conversati ...

Light-Front Holographic QCD and Emerging

... ground-state configurations and the unavoidable presence of multi-hadron thresholds [8]. Furthermore, dynamical observables in Minkowski space-time are not obtained directly from Euclidean space lattice computations. Other methods, as for example the DysonSchwinger equations, have also led to many i ...

... ground-state configurations and the unavoidable presence of multi-hadron thresholds [8]. Furthermore, dynamical observables in Minkowski space-time are not obtained directly from Euclidean space lattice computations. Other methods, as for example the DysonSchwinger equations, have also led to many i ...

Phenomenology of Higgs Bosons Beyond the Standard Model

... where i = 1, 2, 3 is the color index of the quark. The terms inside the large parenthesis in (2.11) make up the covariant derivative Dμi j , and Aaμ are the gauge ﬁelds which are called gluons and there are 8 of them. This theory, where the ﬁelds Ψi are transformed into a linear combination of thems ...

... where i = 1, 2, 3 is the color index of the quark. The terms inside the large parenthesis in (2.11) make up the covariant derivative Dμi j , and Aaμ are the gauge ﬁelds which are called gluons and there are 8 of them. This theory, where the ﬁelds Ψi are transformed into a linear combination of thems ...

How long does it take until a quantum system

... the initial state were precisely known, it would be impossible to predict with certainty what the final quantum state will be. Moreover, the pure initial state has zero entropy, M2 but at the end, according to Hawking, its entropy is of the order of m 2 , where M is the Pl total mass of the system a ...

... the initial state were precisely known, it would be impossible to predict with certainty what the final quantum state will be. Moreover, the pure initial state has zero entropy, M2 but at the end, according to Hawking, its entropy is of the order of m 2 , where M is the Pl total mass of the system a ...

- Free Documents

... of work that followed, it became clear that a useful framework for under standing this situation is Atiyahs axiomatic description of a topological quantum eld theory, or TQFT. On the other hand, at about the same time as Jones initial discov ery, Ashtekar discovered a reformulation of general relati ...

... of work that followed, it became clear that a useful framework for under standing this situation is Atiyahs axiomatic description of a topological quantum eld theory, or TQFT. On the other hand, at about the same time as Jones initial discov ery, Ashtekar discovered a reformulation of general relati ...

The Asymptotic Safety Scenario in Quantum Gravity

... quantum degrees of freedom. Second, a physics premise (“antiscreening”) is made about the selfinteraction of these quantum degrees of freedom in the ultraviolet. Third, the effective diminution of the relevant degrees of freedom in the ultraviolet (on which morally speaking all approaches agree) is ...

... quantum degrees of freedom. Second, a physics premise (“antiscreening”) is made about the selfinteraction of these quantum degrees of freedom in the ultraviolet. Third, the effective diminution of the relevant degrees of freedom in the ultraviolet (on which morally speaking all approaches agree) is ...

15. GRAND UNIFIED THEORIES 15. Grand Uniﬁed Theories 15.1. Grand Uniﬁcation 1

... 15.1.3. String Theory and Orbifold GUTs : Orbifold compactiﬁcation of the heterotic string [7–9], and recent ﬁeld theoretic constructions known as orbifold GUTs [10], contain grand uniﬁed symmetries realized in 5 and 6 dimensions. However, upon compactifying all but four of these extra dimensions, o ...

... 15.1.3. String Theory and Orbifold GUTs : Orbifold compactiﬁcation of the heterotic string [7–9], and recent ﬁeld theoretic constructions known as orbifold GUTs [10], contain grand uniﬁed symmetries realized in 5 and 6 dimensions. However, upon compactifying all but four of these extra dimensions, o ...

Gauge and Matter Fields on a Lattice - Generalizing

... not be distinguished by te usual Ginzburg-Landau scheme of symmetry breaking. Therefore, a new mathematical framework for the study of such phases is needed. In this dissertation we present the simplest example of a topologically ordered system, namely, the Toric Code (TC) introduced by A. Kitaev in ...

... not be distinguished by te usual Ginzburg-Landau scheme of symmetry breaking. Therefore, a new mathematical framework for the study of such phases is needed. In this dissertation we present the simplest example of a topologically ordered system, namely, the Toric Code (TC) introduced by A. Kitaev in ...

Theoretical and observational consistency of Massive Gravity

... categories of the theoretical proposals for dark energy that have been considered in the literature and very soon concentrate on massive gravity as an alternative to dark energy in chapter 2. We will discuss the recently developed ghost-free nonlinear theory for massive spin2 fields, the de Rham-Gab ...

... categories of the theoretical proposals for dark energy that have been considered in the literature and very soon concentrate on massive gravity as an alternative to dark energy in chapter 2. We will discuss the recently developed ghost-free nonlinear theory for massive spin2 fields, the de Rham-Gab ...

Preparing topologically ordered states by Hamiltonian

... To use topologically ordered systems as quantum memories and for fault-tolerant quantum computation, concrete procedures for the preparation of specific ground states are required. Such mechanisms depend on the model Hamiltonian which is being realized as well as on the particular experimental reali ...

... To use topologically ordered systems as quantum memories and for fault-tolerant quantum computation, concrete procedures for the preparation of specific ground states are required. Such mechanisms depend on the model Hamiltonian which is being realized as well as on the particular experimental reali ...

Towards the mathematics of quantum field theory

... The notion of field is very general. From the mathematician’s viewpoint, it means a function x : M −→ C between two spaces, that represents the motion of a physical object in a configuration space C, with parameter space M . The notion of space must be taken here in a widely generalized sense, becau ...

... The notion of field is very general. From the mathematician’s viewpoint, it means a function x : M −→ C between two spaces, that represents the motion of a physical object in a configuration space C, with parameter space M . The notion of space must be taken here in a widely generalized sense, becau ...

Ecole Doctorale de Physique et de Chimie Physique

... helps in addressing several other unresolved issues in the Standard Model framework. Only focusing on the lightest charginos and neutralinos decaying into one or more light leptons, we have shown in our study that these models can be easily discovered in multi-leptonic final states as they lead to s ...

... helps in addressing several other unresolved issues in the Standard Model framework. Only focusing on the lightest charginos and neutralinos decaying into one or more light leptons, we have shown in our study that these models can be easily discovered in multi-leptonic final states as they lead to s ...