Java.lang.IllegalStateException: недоступен транзакционный EntityManager

Проект использует Hibernate (JPA), Spring и Maven. Моя сущность и DAO в отдельном JAR.

pom.xml:

<project ...>
    ...
    <artifactId>database</artifactId>

    <dependencies>
        <dependency>
            <groupId>org.hibernate</groupId>
            <artifactId>hibernate-entitymanager</artifactId>
            <version>3.5.4-Final</version>
        </dependency>
    </dependencies>    
</project>

DAO:

public class AbstractDAO<T extends BaseEntity> implements GenericDAO<T> {


    private final Class<T> persistentClass;

    private EntityManager entityManager;

    public AbstractDAO(Class<T> entityClass) {
        super();
        this.persistentClass = entityClass;
    }

    @PersistenceContext
    public void setEntityManager(EntityManager entityManager) {
        this.entityManager = entityManager;
    }


    public EntityManager getEntityManager() {
        return entityManager;
    }

    ...

    public void fooBar() {
       //Exception from this line
       Session session = getEntityManager().unwrap(Session.class);
       ...
    }

    ....

}

У меня есть модуль, который использует Spring.

pom.xml:

<project ...>
...
<artifactId>api</artifactId>

<dependencies>
    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-core</artifactId>
        <version>${spring.version}</version>
    </dependency>

    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-context</artifactId>
        <version>${spring.version}</version>
    </dependency>

    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-orm</artifactId>
        <version>${spring.version}</version>
    </dependency>
    ....
</dependencies>

 ...    
</project>

AppContext.xml:

<bean id="authService" scope="singleton" class="com.test.management.AuthServiceImpl" />

    <bean id="entityManagerFactory" class="org.springframework.orm.jpa.LocalContainerEntityManagerFactoryBean" name="EntityManagerFactory">
        <property name="persistenceUnitName" value="default"></property>
        <property name="dataSource" ref="dataSource"></property>
        <property name="jpaVendorAdapter">
            <bean class="org.springframework.orm.jpa.vendor.HibernateJpaVendorAdapter">
                <property name="showSql" value="true" />
                <property name="generateDdl" value="true" />
                <property name="databasePlatform" value="${db.dialect}" />
            </bean>
        </property>     
    </bean>

    <!-- Values are defined in db.properties -->
    <bean id="dataSource" class="org.apache.commons.dbcp.BasicDataSource" destroy-method="close">
        <property name="driverClassName" value="${db.driver}" />
        <property name="url" value="${db.url}" />
        <property name="username" value="${db.username}" />
        <property name="password" value="${db.password}" />
    </bean>

    <bean id="transactionManager" class="org.springframework.orm.jpa.JpaTransactionManager" name="TransactionManager">
        <property name="entityManagerFactory" ref="entityManagerFactory"></property>
    </bean>

    <tx:annotation-driven />

    <bean id="userDAO" scope="singleton" class="com.test.database.dao.impl.UserDAOImpl">
    </bean>


    <bean class="org.springframework.orm.jpa.support.PersistenceAnnotationBeanPostProcessor" />

</beans> 

служба:

public class AuthServiceImpl implements AuthService {

    @Autowired
    private UserDAO userDAO;


    @Override
    public void authorization() {
        userDAO.fooBar();

    }
}

Когда я пытаюсь получить сеанс из EntityManager, я ловлю это исключение:

java.lang.IllegalStateException: No transactional EntityManager available
    at org.springframework.orm.jpa.SharedEntityManagerCreator$SharedEntityManagerInvocationHandler.invoke(SharedEntityManagerCreator.java:223)
    at $Proxy121.unwrap(Unknown Source)